Prove That

cot 2A + tan 2A cot 2A-tan 2A = sec 4A​

Answers

Answer 1

Answer:

*Refer the graph

Step-by-step explanation:

Blue : y= cot 2A + tan 2A cot 2A-tan 2A

domain a ≠ kπ/4

Yellow : y= sec 4A

domain a ≠ π/8 + kπ/4

vertical intercept (0,1)

Prove That Cot 2A + Tan 2A Cot 2A-tan 2A = Sec 4A

Related Questions

Find P(5) given P(x) = 4 - 1

Answers

Answer:6

Step-by-step explanation:

sorry if im wrong

There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose the members to go to the conference by a random process. How many different combinations of four council members can be selected from the nine who want to go to the conference

Answers

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

[tex]$^9C_4$[/tex]

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

[tex]$^9C_4=\frac{9!}{4!(9-4)!}$[/tex]

      [tex]$=\frac{9!}{5! \ 4!}$[/tex]

     [tex]$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$[/tex]

    = 126

On a piece of paper graph f(x) 2x(3)^x then determine which graph represents the function

Answers

Answer:

ok

What do you want me to answer ?

It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. At α = 0.05, is the student senate correct? a) State the hypotheses and identify the claim with the correct hypothesis

Answers

Answer:

Following are the solution to the given point:

Step-by-step explanation:

The formulated null hypothesis would be that the reported average do not differ significantly

[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]

What is the solution for this equation:

Answers

Answer:

c) x=126

Step-by-step explanation:

tell me if I get it right

Find the antiderivative of the function. f(x)=10x+3

Answers

An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.

[tex]\int f(x)dx=\int 10x+3dx[/tex]

This function is relatively easy to integrate because its just a sum of terms with various exponents.

[tex]\int 10x+3dx=5x^2+3x+C[/tex]

To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.

[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].

Et voilà.

Hope this helps.


Which of these is an exponential parent function?


Answers

Complete question is;

Which of these is an exponential parent function?

A. f(x) = x

B. f(x) = 2^(x)

C. f(x) = x²

D. f(x) = |x|

Answer:

B. f(x) = 2^(x)

Step-by-step explanation:

> In option A, f(x) = x

This function depicts a straight line with intercept as 0 and slope as 1.

> In option C, f(x) = x²

This function depicts a parabola open up since the leading coefficient is greater than 0.

> In option D: f(x) = |x|

This function depicts a straight line y = x for x > 0 and y = -x for x < 0

In option B f(x) = 2^(x)

This function depicts an exponential function because the x is in the exponent form with a base of 2.

What ordered pairs are the solutions of the system of equations shown in the graph below?

Answers

Answer:

(1,-3) and (4,-6)

Step-by-step explanation:

The solutions are where the linear line intersects the graphed parabola.

please somebody help me with this please help ASAP​

Answers

Step-by-step explanation:

I don't know what your teacher wants to hear here.

can you use and construct certain angles (particularly 90 degrees), can you use compasses ?

for me the best way would be to draw one side as given. then use compasses and draw a half-circle from each end point of the line above the line. both circles have the radius = the given diameter.

then draw the next 2 sides of the square up from the end points of the first line towards the half-circle that was drawn from the other point, so that the end point is exactly on the circle bow. and then connect the engaging endpoints of these 2 sides.

similar for the rectangle.

the only difference is that now for the two sides (which we don't know the length) we need to go up exactly 90 degrees until the lines hit the half-circles.

Three friends went to a book shop the first bought three bros and four pencils for $30.00. The second bought two Bros and five pencils for $27.00 . If the third bought a bro and a pencil only how much did they pay .​

Answers

Answer:

total 66$

Step-by-step explanation:

let price of bro s be x and pencil be y

according to Qn

at 1 cond

3x+4=30____(1)

2x+5y=27____(2)

solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$

Joe drinks some milk every day. The graph shows the proportional
relationship of how many liters of milk Joe drinks to number of days.
Find the amount of milk he drinks in 7 days.

Answers

Answer:  14 liters

====================================

Explanation:

Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.

See the diagram below.

The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14

This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.

Answer:

The correct answer is 14 liters

Step-by-step explanation:

When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer

Let me know if I did anything wrong. :)

someone help me with my algebra homework please

Answers

Answer:

15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

5a - 10b = 45

b = 3

Step 2: Solve for a

Substitute in b [Equation]:                                                                                5a - 10(3) = 45Multiply:                                                                                                             5a - 30 = 45[Addition Property of Equality] Add 30 on both sides:                                  5a = 75[Division Property of Equality] Divide 5 on both sides:                                  a = 15

Answer:

a=3

Step-by-step explanation:

5a-10b=45

when b=3

5a-10×3=45

5a-30=45

collect like terms

5a=45-30

5a=15

a=3

i need help asap like right now!!! MWEN BEZWEN ÈD AK MATEMATIK MWEN AN. ​

Answers

Answer:

i guess it is "not enough information"

Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know σ, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Will her interval be longer or shorter than one obtained by using an appropriate Student's t distribution? Explain.

Answers

Answer:

Shorter

Step-by-step explanation:

When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40

At α = 0.05 ;

Tcritical, df = 40 = 2.02

Zcritical = 1.96

Find the answer to each trigonometric function below. ​

Answers

Answer:

Sin A = [tex]\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}[/tex]Cos C = [tex]\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}[/tex]Tan A = [tex]\frac{opposite}{adjacent} =\frac{21}{20}[/tex]

convert 0.25151 to a fraction

Answers

Answer:

25151/100000

Step-by-step explanation:

Consider the line 4x + 8y = -4.
a) What is the slope of a line perpendicular to this line?

b) What is the slope of a line parallel to this line?

Answers

a) -2

a slope of a line perpendicular is it’s opposite and reciprocal.

Therefore you want to find the slope. You can do this by writing it in intercept form, or just knowing A/B since it’s in standard form.

slope form: y= mx + b

8y = -4 -4x

y = -1/2x -1/2

So the slope is -1/2 so it’s opposite and reciprocal would be 2. So a slope of a line perpendicular is -2.

b) -1/2

A line parallel would have the same slope as your equation. Since you know the slope -1/2 you know whatever your b value is, that line would be parallel as long as it has the same slope.

A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that the plane is flying? Round to the nearest degree.​

Answers

Answer:

27 degrees

Step-by-step explanation:

First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.

We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees

Aaron's rear bicycle tire has too much air he removes 8 pounds of air so that his tire gauge now reads 53 pounds. How many pounds did he begin with? Use the equation p - 8 = 53

Answers

Answer:

61 pounds

Step-by-step explanation:

you rearrange the equation to make p the subject:

p-8=53

p = 8+53

p = 61

The answer is 61 pounds

what is the measure of angle D?​

Answers

Answer:

57

Step-by-step explanation:

The correct answer is 52°

In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?

Answers

Answer:

The cosine of angle P = opposite / adjacent = 39 / 80

Step-by-step explanation:

PLEASE HELP! Use the graph to solve the system of equations.

A. (-5,0)

B. (0,5)

C. (0,0)

D. (2,3)

Answers

Answer:

D

Step-by-step explanation:

Look for the intersection point of the two graphs

Another way:

You can just substitute each pair in both equations and u will find that d is the correct answer

if f(x)=2x/x-5 find f^-1(x)

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

x = [tex]\frac{5y}{y-2}[/tex]

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Answer:

Look into the image. I hope it helps❤

#CarryOnLearning

Pls help ASAP

Compare and contrast how to graph: x=2 and y= -4

Answers

Answer:

plotting x = 2

see the x- axis look for the point x = 2(on right side of the origin ). Mark that point and draw a straight line parallel to the y- axis.

This is the graph of x = 2

plotting y = -4

see the y- axis and then look for the point y= -4 (that must be 4 units below the origin). Mark that point and draw a straight line parallel to the x- axis.

This is the graph of y = -4

we see that, the graph x = 2 is parallel to the y-axis whereas the graph y = -4 is parallel to the x- axis.

What is the domain of the function on the graph?

•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0

Answers

Answer:

all real numbers

Step-by-step explanation:

got it right

Answer:

A

Step-by-step explanation:

it is all real numbers

brainiest please

Please help!! I don’t understand this.

Answers

You add all of them together if it’s labeled with a X.
For example, the first X is 1 hour. If it has 2 Xs it would be 2 hours, if no X is shown above, it’s zero hours.
Answer is 12 hours.

please someone explain this

Answers

Answer: 68

Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.

this is too hard for me lol

Answers

Answer:

<16 should be 70 degrees. Correct me if I'm wrong.

Answer:

70°

Step-by-step explanation:

[tex]m \angle \: 1 + m \angle \: 2 = 110 \degree...(given) \\ \\ m \angle \: 11 + m \angle \:1 2 = m \angle \: 1 + m \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: m \angle \: 11 + m \angle \:1 2 = 110 \degree \\ \\ now \: \\ m \angle \: 14 + m \angle \:1 5 = m \angle \: 1 1+ m \angle \: 12 \\ (vertical \: \angle s) \\ \implies \: m \angle \: 14 + m \angle \:1 5 = 110 \degree \\ \\ m \angle \: 13 = m \angle \: 16 \: \\ (vertical \: \angle s) \\ \\next \\ m \angle \: 1 1+ m \angle \: 12 + m \angle \: 1 3+ \\ m \angle \: 14 + m \angle \: 1 5+ m \angle \: 16 = 360 \degree \\ \therefore \: (m \angle \: 1 1+ m \angle \: 12 ) + (m \angle \: 1 4+ \\ m \angle \: 15) + m \angle \: 1 3+ m \angle \: 16 = 360 \degree \\ \therefore \:110\degree + 110 \degree + m \angle \: 1 6+ m \angle \: 16 = 360 \degree \\ 220 \degree + 2m \angle \: 16 = 360 \degree \\ 2m \angle \: 16 = 360 \degree - 220 \degree \\ 2m \angle \: 16 = 140 \degree \\ \therefore \: m \angle \: 16 = \frac{140 \degree}{2} \\ \\ \huge \red{ \therefore \: m \angle \: 16 =70 \degree}[/tex]

What is the value of d?
A.100 B.84 C.50 D.80

Answers

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84

I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct

Answers

Answer:

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

[tex]\frac{MN}{NO}[/tex] = [tex]\frac{PQ}{QR}[/tex]

[tex]\frac{14}{11}[/tex] = [tex]\frac{PQ}{27}[/tex]

Cross multiply

14(27) = 11(PQ)

378 = 11(PQ)

[tex]\frac{378}{11}[/tex] = PQ

PQ = 34.4

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