Cos (2a) [tg (2a) - tg (a)] = tg (a) Es de identidades trigonométricas y realmente no entiendo ¿me ayudan?

Answers

Answer 1

Answer:

Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Step-by-step explanation:

A continuación, vamos a emplear las siguientes identidades trigonométricas:

[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)

[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)

Ahora aplicamos estas identidades a la identidad descrita en el enunciado:

[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]

[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]

[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]

[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]

[tex]1 = 1[/tex]

Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].


Related Questions

Which segments have equal
lengths?

Answers

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

help help help help help !!!!!!

Answers

Answer:

Step-by-step explanation:

The graph represents step function.

That is C(x) = [ x ],

Evaluate C( 3 )

Cost at x = 3 , C( 3 ) = 7

please help me with this :D

Answers

The answer is 70 degrees

25 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when

Answers

9514 1404 393

Answer:

  it depends on what the question is (no question is given)

Step-by-step explanation:

What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.

Perimeter

The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.

The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.

For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.

  P = 2(L+W) = 2(21+16) = 2(37) = 74 units

__

Area

The dashed lines divide this figure into 3 rectangles.

  left side: 16 wide by 13 high

  upper right: 5 wide by 13 high

  lower right: 5 wide by 3 high

You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.

You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.

  area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units

Adding the 3 rectangles identified above gives ...

  16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area

Choose the correct number in which 5 has a value of 5 tenths *
5.472
67.596
567.9
89.675

Answers

Step-by-step explanation:

I am thinking that the question means that there is a 5 one place to the right of the decimal. If this is correct then the answer is 67.596. One place to the right of the decimal is the tenths place.

Answer: 56.596

Giulio holds a bag of 70 marbles in his hands. Jim blindfolds Giulio and keeps adding marbles to Giulio's bag, one at a time. However, Giulio notices the difference in the weight only after Jim has added 5 marbles. They now repeat the same experiment with a bag of 140 marbles. This time, Giulio notices the difference in the weight only after Jim has added 10 marbles. This scenario BEST illustrates:

Answers

Answer:

Weber's Law

Step-by-step explanation:

Weber's law States that it is a mathematical model of the difference threshold stating that the magnitude needed to detect a physical change in a stimulus is proportional to the absolute magnitude of that stimulus. Thus, the more intense the stimulus, the greater the change that must be made in it to be noticed.

Pattern A starts at 2 and uses the rule "add 3." Pattern B starts at 38 and uses the rule "subtract 5."

What are the next four terms in each pattern?

Enter your answers in the boxes.

Answers

Answer:

A: 5,8,11,14

B: 33,28,23,18

Step-by-step explanation:

Pattern A

2 +3 = 5

5+3 = 8

8+3 = 11

11+3 = 14

Pattern B

38 -5 = 33

33-5 = 28

28-5 =23

23-5 = 18

A: 2, 5, 8, 11, 14

B: 38, 33, 28, 23, 18

Find the value of the angle θ rounded to 1 DP.

Answers

Answer:

ok first we add 9 and 29 together

38

now we add 90

128

so the other angle is

52

so we just use the formulas

and

Side a = 26.56371

Side b = 43.14662

Side c = 34

so the side with a x on it is 26.6

so know we have to do the same thing but not including the top part

ok so the side with x on it is 18.8

so 26.6-18.8=7.8

x=7.8

*WARNING* This shoud be close to the answer but may to up to a couple dp higher or lower sorry i just don't have time to be more accurate

Hope This Helps!!!

A line is perpendicular to y=2/3x+2/3 and intersects the point (-2,4). What is the equation of this perpendicular line?

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]

Using the point- slope form

with m = - [tex]\frac{3}{2}[/tex] and (x₁, y₁ ) = (- 2, 4) , then

y - 4 = - [tex]\frac{3}{2}[/tex] (x - (- 2) ) , that is

y - 4 = - [tex]\frac{3}{2}[/tex] (x + 2) ← distribute

y - 4 = - [tex]\frac{3}{2}[/tex] x - 3 ( add 4 to both sides )

y = - [tex]\frac{3}{2}[/tex] x + 1 ← in slope- intercept form

if 3/2+x/3=11/6,find x .​

Answers

Step-by-step explanation:

[tex] \frac{3}{2} + \frac{x}{3} = \frac{11}{6} [/tex]

[tex] \frac{x}{3} = \frac{11}{6} - \frac{3}{2} [/tex]

[tex] \frac{x}{3} = \frac{11 - 3 \times 3}{6} [/tex]

[tex] \frac{x}{3} = \frac{11 - 9}{6} [/tex]

[tex] \frac{x}{3} = \frac{2}{6} [/tex]

[tex] \frac{x}{3} = \frac{1}{3} [/tex]

[tex]x = \frac{3 \times 1}{3} [/tex]

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

3/ 2 + x/ 3 = 11/ 6

taking LCM

(9 + 2x)/ 6 = 11/ 6

multpiying both sides by 6

9 + 2x = 11

subtracting btih sides by 9

2x = 11 - 9

2x = 2

dividing both by 2

x = 1

Determine whether each of the following problems
will have a rational or an irrational answer. Your
answer should be either the word "rational or
"irrational."
18 + 1

Answers

Answer:

irrational

Step-by-step explanation:

pi itself is irrational, so adding something to it makes no difference

Answer: Irrational

Step-by-step explanation:  The sum of two rational numbers is  

✔ always  rational.

The sum of a rational number and an irrational number is  

✔ never  rational.

The product of a rational number and an irrational number is  

✔ always  irrational.

The product of two rational numbers is  

✔ never  irrational.

Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”

18+pi = irrational

A repeating decimal + A fraction   =rational

3/13 x sqrt 52 =irrational

Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.

Answers

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are taken, by how much would their sample proportions typically vary from the true proportion?


0

0.0006

0.024

0.148

6.07

Answers

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that [tex]p = 0.18[/tex]

Samples of 250 high school juniors are taken

This means that [tex]n = 250[/tex]

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]

[tex]s = 0.024[/tex]

So 0.024 is the answer.

in this given figure find the value of x​

Answers

QUESTION:- find the value of x

ANSWER:-

[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]

[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]

Answer:

x = 24

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , that is

5x + 4x + 6x = 360

15x = 360 ( divide both sides by 15 )

x = 24


If f(x) = x^3 + 2x^2-29x-30 and f(-6) = 0, then find all of the zeros of f(x) algebraically

Answers

Answer:

there are going to be three zeros.

x=-1

x=-6

x=5

Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]

Answers

Answer:

202

Step-by-step explanation:

360 - 60+50+48

360-158

= 202

Answer:

The answer would be 49

Step-by-step explanation:

Trust

Direction: Fill the missing terms. Write your answer on the space provided.1. .An _______ is a data collection method where you as a researcher change somevariables and observe their effect on other variables.2. A __________ is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.3. __________, when you use this method, you meet with the respondents face to faceand ask questions.4. In an __________ method, the data from the field is gathered with the help ofobservation by the observer.5. ___________ is sent ( by post or by mail) to the persons concerned with a requestto answer the questions and return the questionnaire.6. ___________.It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.7. __________ It is very similar to the questionnaire method. The main differenceis that the schedule is filed by the enumerator who is specifically appointed for thepurpose.8. __________ One who goes to the respondents, asks them the questions from thequestionnaire in the order listed, and records the responses in the space provided.9. __________are those which have already been gathered by someone else andwhich have through some statistical analysis.10. . ___________ are those which are gathered for the first time and are original incharacter.

Answers

Answer:

An experiment is a data collection method where you as a researcher change somevariables and observe their effect on other variables.A surveys is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.☞☜ ☞☜ ☞☜ Data collection It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.☞☜ ☞☜ Secondary data are those which have already been gathered by someone else andwhich have through some statistical analysis.Primary data are those which are gathered for the first time and are original incharacter.

Step-by-step explanation:

lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!

•|۝ jess bregoli ۝|•

#keep learning!!

Answer:

Here is your Answer : )

Step-by-step explanation:

1. experiment

2. survey

3.  Interview

4. observation

5. questionnaire

6. Data collection

7. Schedule

8. Manager

9. primary data

10. Primary data

Plz mark as brainiest this took long time

Hope U like it : )

HELP PLEASE!!!!!

A car owner decides to upgrade from tires with a diameter of 24.3 in to tires with a diameter of 26.1 in. If she doesn't update the onboard
computer, how fast will she actually be traveling when the speedometer reads 65 mph?
Although we want to solve for the linear speed of the upgraded tires, we do not have enough information for that. To fill up the formula v = rw, we only have the upgraded tires
r. but we do not know yet their w. However, since the speedometer counts rotations per hour and uses that to get the v of older tires, we can use that information to find the w
of the upgraded tires. Thus, let us solve first for w using the radius of the old tires and the reading of the speedometer.
Note: Do not forget that you are given the diameter and must still use that to get the radius. Also, do not forget that the diameter is given in inches, and you must convert that to miles, in order to be able to
cancel the time units. (1 mi = 63, 360 in)

Answers

Answer:

8yr7xy9c8ze6X9yc9y8d58f99ff68g

Solving three variables systems of equations

Answers

Answer:

D

Step-by-step explanation:

bbbbuujbhhtdddfyuuiiiiiooohhgff

Answer:

D...

Step-by-step explanation:

d is the answer hope it helps

what's 1/9 of 22 hours​

Answers

Answer:

[tex]2\frac{4}{9}[/tex]  hours

Step-by-step explanation:

22 ÷ 1/9 = 2 4/9

Hope this helps

please help i need to pass math class​

Answers

Answer:

4. (B)

5. (C)

6. (C)

7. (B)

8. (B)

9. (D)

10. (B)

Hope this helps! Have a nice day!

Step-by-step explanation:

[tex](x^{2} +x-3): (x^{2} -4)\geq 1[/tex]

Answers

Answer:

[tex]x>2[/tex]

Step-by-step explanation:

When given the following inequality;

[tex](x^2+x-3):(x^2-4)\geq1[/tex]

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

[tex]\frac{x^2+x-3}{x^2-4}\geq1[/tex]

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

[tex]\frac{x^2+x-3}{x^2-4}-1\geq0[/tex]

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

[tex]\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0[/tex]

Perform the operation on the other side distribute the negative sign and combine like terms;

[tex]\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0[/tex]

Factor the equation so that one can find the intervales where the inequality is true;

[tex]\frac{x+1}{(x-2)(x+2)}\geq0[/tex]

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

[tex]-1, 2, -2[/tex]

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

[tex]x\leq-2\\-2<x\leq-1\\-1\leq x<2\\x>2[/tex]

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

[tex]x\leq-2[/tex]   -> negative

[tex]-2<x\leq-1[/tex]   -> neagtive

[tex]-1\leq x <2[/tex]   -> neagtive

[tex]x>2[/tex]   -> positive

Therefore, the solution to the inequality is the following;

[tex]x>2[/tex]

Samson carries a big weighing 5.5 kg.How many grams is it ?​

Answers

Answer:

5,500 grams

Step-by-step explanation:

it is a measurement in kilograms meaning onethousand grams. so its 5,500 grams

Answer:

5500 Grams!

Step-by-step explanation:

The line that passes through the points (5, 3)
and (8. A) is perpendicular to the line
6x + 7y + 13 = 0. Determine the value of A.

Answers

Answer:

[tex] \frac{13}{2} [/tex]

Step-by-step explanation:

slope of the line that passes thru (5, 3) and (8, A)

[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]

the line that is perpendicular to the given line is

6x + 7y + 13= 0

finding the slop of this line :-

[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]

Comparing with standard equation of a line

y = mx + c

where m is the slop and c is the y- intercept

m = - 6/ 7

Since, the two lines are perpendicular to each other the product of their slopes will be - 1

[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]

( canceling the 2 negative signs on both the sides )

A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?

1 percent
5 percent
11 percent
15 percent

Answers

Answer:

the answer is 5 percent

Step-by-step explanation:

The probability of experiencing heartburn is 5 percent. Therefore, option B is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Given that, the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent.

Let Event A: Headache and Event B: Heartburn.

P(A)=0.05, P(A∩B)=0.02

The probability of experiencing a headache or heartburn is 8 percent, hence:

P(A∪B)=0.08

Now, P(A∪B)=P(A)+P(B)-P(A∩B)

0.08=0.05+P(B)-0.02

P(B)=0.05 or 5%

Therefore, option B is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ7

A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.

Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.

If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?

O A. 52

B. 5

C. 13

D. 26

Answers

Answer:

i think the answer is c cuz theres 36 number cards

What value of x would make the inequality true?

2x + 5.5 < 20

A) 19/2

B) 9/4


Part two

What other value of x would make the same inequality true?

2x + 5.5 < 20

C) 5

D) 7.25

Giving brainlest!!!

Answers

Answer:

whats?

Step-by-step explanation:

Answer:

19/2 and 7.25

Step-by-step explanation:

1.

19/2=9.5

2×9.5+5.5=

19+5.5=

24.5

24.5 <20

verified

2.

2×7.25+5.5<20

14.50+5.5 <20

20 <20

verified

please mark as brainliest answer

Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Answers

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.

Hugo works in a shop.
His normal rate
of pay is £9.00 per hour.
When Hugo works on Sundays, he is paid overtime for each hour.
The overtime rate of pay is 1 1/3times his normal hourly rate.
Last weekend, Hugo worked 7 hours on Saturday and 4 hours on
Work out how money Hugo earned during that weekend.

Answers

Answer: 111 dollars

Step-by-step explanation:

7 hours on Saturday and 4 hours on Sunday

Sunday gets paid 1 1/3, or 4/3 times more which is 9 x 4/3 = 12 per hour

Saturday is 9 per hour

7x9 (Saturday) + 4x12 (Sunday) = 111 dollars

Can someone help me? It's urgent and thank you!

Answers

Answer:

x = -9, 3

Step-by-step explanation:

you cross multiply

Answer:

 [tex]x=-9[/tex] or [tex]x=3[/tex]

Step-by-step explanation:

Cross multiply:

[tex]3/x+6=x/9\\\\\\(3) * (9)=x*(x+6)\\\\\\27=x^{2} +6x[/tex]

Subtract x^2 +6x from both sides:

[tex]27-(x^{2}+6x )=x^{2} +6x-(x^{2} +6x)\\\\\\-x^{2} -6x+27=0[/tex]

Factor left side of the equation:

[tex](-x+3)(x+9)=0[/tex]

Set factors equal to 0:

[tex]-x+3=0[/tex] or [tex]x+9=0[/tex]

Therefore, [tex]x=3[/tex] or [tex]x=-9[/tex]

hope this helps.....

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