Trigonometry help me

Trigonometry Help Me

Answers

Answer 1

Answer:

[tex]\theta = \frac{\pi}{6}[/tex]

Step-by-step explanation:

[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex]          [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]

[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex]              [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]

[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]                  [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]

[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]

[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]              [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]

[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]              

[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]                      

[tex]\sqrt 3 - 2sin 2\theta = 0[/tex]                                  [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]

[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]


Related Questions

The black graph is the graph of y= f(x). Choose the equation for the red graph
which one: a, b, c, d?

Answers

Answer:

Option C.

Step-by-step explanation:

First, let's define the transformations used here:

We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:

Horizontal shift:

For a general function f(x) an horizontal shift of N units is written as:

g(x) = f(x + N)

where:

If N > 0, the shift is to the left

if N < 0 , the shift is to the right.

Reflection across the x-axis.

For a function f(x), a reflection across the x-axis is just written as:

g(x) = -f(x)

So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:

g(x) = -f(x)     (only for the reflection)

g(x) = -f(x - 1)    (for the reflection and the shift)

Then the graph of the red function is:

y = -f(x - 1)

We can rewrite this as:

y = -1*f(x - 1)

dividing both sides by -1 we get:

y/-1 = f(x - 1)

This is what we can see in option C, so the correct option is C.

If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?

Answers

Doubling the radius will increase the base circular area to be quadrupled due to the squaring operation and thus increasing the volume of the cylinder to 4 times of its original value.

what is the opposite of 24? what is the reciprocal of 24? use a pencil and paper. Describe any similarities and differences between the opposite of a nonzero number and the reciprocal of that number.

the opposite of 24 is □

the reciprocal of 24 is □

Answers

Answer:

-24, [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

An opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0. The opposite number for n is written as −n.

For 24, this is -24.

A multiplicative inverse or reciprocal for a number n, is a number which when multiplied by n, their product is 1. To find the multiplicative inverse of a real number, just divide 1 by that number.  The reciprocal for n is written as [tex]\frac{1}{n}[/tex] or [tex]n^{-1}[/tex].

For 24, this is [tex]\frac{1}{24}[/tex].

**This content involves opposite and reciprocal numbers, which you may wish to revise. I'm always happy to help!

1. Each student at a school has a student identification number. Counselors have a computer

generate 50 random identification numbers and those students are asked to take a survey.

What type of sampling is this?

Choose 1 answer: *

Simple random sampling

O Stratified random sampling

O Cluster random sampling

Systematic random sampling

Answers

Answer:

Simple random sampling

Step-by-step explanation:

From the sampling description explained above, the sampling method used is a simple random sampling method whereby a small subset or group is chosen from a larger set or population with all individuals in the population having exactly equal chance. The entire sample during a simple random sampling does not have to partitioned or subdivided into groups or subgroups. All individual samples are entirely sampled together with all having the sample probability of being chosen. This way the samples are representative of the entire population. All students in the scenario were sampled with any subdivision. Hence, we have a simple random sampling method.

Which of the following is an arithmetic sequence?
O A. 1,3,9,27,..
O B. 1,0,1,0,1,0,...
O C. 800, 200, 50,...
O D. 10.7.4 1.-2...

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation: Hope this helps and gl :)

What number set does 20 belong to

Answers

i dont understand ur question pls make it more clear!

Three siblings are doing their washing and hanging all the items on the washing line.

On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.



Who has a striped shirt?

b) What design is Paul’s towel?

c) Who has a spotted jumper?

Answers

The answer is who spotted jumper

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

7.4, 7.4071, 7.907, 7.97

In the figure above, what is the value of a + b + c + d + e + f?

Answers

Answer:

a+b+c+d+e+f = 360º

Step-by-step explanation:

Each side of the outer triangle

is a straight line segment which is 180º

Since there are three sides

180 * 3 = 540º

therefor a+b+c+d+e+f + inside triangle = 540

The angles of the inside triangle total 180º

a+b+c+d+e+f = 540 - 180

a+b+c+d+e+f = 360º

. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail ​

Answers

Answer:

0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Use x for the equation: (x - 1/2)*1/2 = 1/8

Just go backwards

1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

What is the remainder for the synthetic division problem?​

Answers

Answer:

C. 54

Step-by-step explanation:

1. Drop down the 1

2. Multiply 1 by 3, put that answer, 3, underneath the 5

3. Add 3+5, then put that answer, 8, below.

4. Multiply 8 by 3, put the answer, 24, under the -8

5. Add 24 and -8 to get 16, drop 16 underneath

6. Multiply 16 by 3, put the answer, 48, under the 6

7. Add 48 and 6 to get 54. Drop 54 below.

Now there are no more coefficients to add the 54 to, so 54 is the remainder!

I hope this helped, the explanation without writing it down is kind of confusing. :))

Where are the asymptotes of f(x) = tan (4x-pi) from x=0 to x= pi/2

A. X= pi/4, x=3pi/4
B. 0, x=pi/4
C. X=pi/2, x=3pi/2
D. X= 3pi/8, x=5pi/8

Answers

Step-by-step explanation:

the asymptotes of f(x) :

(4x-π) = π/2

4x = 3π/2 => x = 3π/8

(4x-π) = 3π/2

4x=5π/2 => x = 5π/8

the answer is

D. X= 3pi/8, x=5pi/8


a.) If m 1 = 3x - 7, find x.

Answers

Answer:

x = 25

Step-by-step explanation:

Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.

What are vertical angles, you ask?

According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.

For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.

Vertical angles are always congruent.

(This is VERY important to know! It will help you solve many types of geometry problems!)

m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.

Therefore: 3x - 7 = 68.

Now, you can solve for x to get x = 25.

Hope this helps!

Math tough, who agrees to this statement

Answers

Answer:

$1160

Step-by-step explanation:

And yes I agree to this statement

Please please help me please please help

Answers

Answer:

D

Step-by-step explanation:

Total ribbon left is 28 1/3 - 10 2/3= 86/3-32/3=54/3=18

solve it : -

[tex] \sqrt{27 \times3 } [/tex]
_______​

Answers

Answer:

9

Step-by-step explanation:

sqrt(27*3)

sqrt(81)

sqrt(9*9)

9

Answer:

9

Step-by-step explanation:

27 * 3 = 81

√81 = 9

A train travels a total of 38 km at a constant speed of 90 km/h. How long is its journey? Give your answer in minutes and seconds, to the nearest second.

I WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer:

3420 minutes 205,200 second.

The seven numbers 1, 2, 5, 10, 25, 50, 100 repeat to form the following pattern.
1, 2, 5, 10, 25, 50, 100, 1, 2, 5, 10, 25, 50, 100

What is the 75th number in the pattern? How did you get the answer?

Answers

Answer:

25

Step-by-step explanation:

First number      = 1

Second number = 2

Third number     = 5

Fourth number   = 10

Fifth number      = 25

Sixth number     = 50

Seventh number = 100

Again 14th number will be = 100

Again 21st number will be = 100

Continuing 70 th number will be = 100

71st number= 1

72nd number = 2

73rd number = 5

74th number = 10

75th number = 25

OR

[tex]\frac{75}{7} = 10 \times 7 + 5\\[/tex]

So, after repeating 10 times up to 100, then the 5 number will be the 75th number , which is 25

The exponent on b when b^3 is multiplied by b^3 is
A. 3
B. 6
C. 9​

Answers

Answer:

B. 6

Step-by-step explanation:

3³ x 3³ = 3⁶

The answer is 6

Answer:

B) 6

Step-by-step explanation:

The reason for this is really awesome and is clearly seen when you expand it.

x^3= x times x times x

x^3= x times x times x

x^3 times x^3= x times x times x times x times x times x= x^6

10 points!!!!!! 16-20 please answer correctly and hurry please

Answers

Answer:

[tex] \large{ 16.}[/tex]

Two adjacent angles form a linear pair if the sum of those angles is 180°.

[tex] \: \large{\tt{❃ \: m \: \angle \: 1 + m \: \angle \: 2 = 180 \degree \: ( \: SUM \: OF \: ANGLE \: IN \: LINEAR \: PAIR)}}[/tex]

[tex] \large{ \tt{⟶ \: 47 \degree + m \angle \: 2 = 180 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: m \angle \: 2 \: = 180 \degree - 47 \degree}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: 2 = 133 \degree}}}[/tex]

–––––––––––––

[tex] \large{17}.[/tex]

When two lines intersect , the Ames formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.

[tex] \large{ \tt{↝ \: m \angle \: 6 = m \angle5 = \boxed{ 99.5\degree }\: ( \: BEING \: VOA)}}[/tex]

–––––––––––––

[tex] \large{18.}[/tex]

[tex] \large{ \tt{✻ \: m \angle \: JHL = m \angle \: JHK + m \: \angle \: KHL\: }}[/tex]

[tex] \large{ \tt{⤏ \: m \angle \: JHL= 60 \degree + 46 \degree}}[/tex]

[tex] \large{ \boxed{\tt{⤏ \: m \angle \: JHL = 106 \degree}}}[/tex]

Note that m ∠ KHL = 46° [ being vertically opposite angle ]

–––––––––––––––

[tex] \large{ {19.}}[/tex]

Firstly , find out m ∠ JHP :

[tex] \large{ \tt{❁ \: m \: \angle \: JHK + m \: \angle JHP+ m \: \angle PHN= 180 \degree \: ( \: sum \: of \: angle \: in \: straight \: line)}}[/tex]

[tex] \large{ \tt{↣ \: 60 \degree + m \angle \: JHP+ 46 \degree = 180 \degree}}[/tex]

[tex] \large{ \tt{↣ \: m \angle \: JHP = 74 \degree}}[/tex]

Now , find out m ∠ JHN :

[tex] \large{ \tt{☂ \: m \angle \: JHN = m \angle \: JHP + m \angle \: PHN}}[/tex]

[tex] \large{ \tt{↦m \angle \: JHN = 74 \degree + 46 \degree}}[/tex]

[tex] \large{ \boxed{ \tt{ ↦m \angle \: JHN = 120 \degree}}}[/tex]

––––––––––––––––

[tex] \large{ 20.}[/tex]

[tex] \large{ \tt{✺ \: m \angle \: KHP = m \angle \: KHJ + m \angle \: JHP}}[/tex]

[tex] \large{ \tt{ ↬ \: \: m \angle \: KHP = 74 \degree + 60 \degree}}[/tex]

[tex] \large{ \boxed{\tt{↬ \: m \angle \: KHP = 134 \degree}}}[/tex]

And we're done! Yeyy :) . Also , Let me know if you have any questions regarding my answer !

––––––––––––––––

[tex] \large{ \tt{ \# \: StayInAndExplore \: !}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

can someone help me with this maths question? workings would be appreciated :]


Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.

Work out the total amount of sweets.

Answers

Answer:

total amount of sweets=230

Step-by-step explanation:

ratio=8:5:10

total ratio=8+5+10

=23

Adrian=x

Charlie= x+20

Ben=1/2×(x+20)

Charlie's share

10/23×(x+20+x+(1/2×x+20))=x+20

10/23×(x+20+x+(x+20/2))=x+20

10/23×(x+20+x+x+20/2)=x+20

10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20

10/23×(2x+40+2x+x+20)/2=x+20

10/23×(2x+2x+x+40+20)/2=x+20

10/23×(5x+60)/2=x+20

50x+600/46=x+20

50x+600=46(x+20)

50x+600=46x+920

50x-46x=920-600

4x=320

4x/4=320/4

x=80

Total amount of sweet

x+x+20+1/2(x+20)

80+80+20+1/2(80+20)

180+1/2(100)

180+50

230

In Which Quadrant is this true

Answers

Given:

[tex]\sin \theta <0[/tex]

[tex]\tan \theta <0[/tex]

To find:

The quadrant in which [tex]\theta[/tex] lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.

In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.

In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.

We have,

[tex]\sin \theta <0[/tex]

[tex]\tan \theta <0[/tex]

Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.

Therefore, the correct option is D.

852 pounds of grapes were packed equally into 3 boxes for shipping. How many pounds of grapes were there in 2 boxes?

Answers

Answer:

568 in 2 boxes

Step-by-step explanation:

852 = total of grapes

852 ÷ 3 = 284 per box

To find 2 boxes:

284 + 284= 568

I need somebody to help this due in 25 minutes

Answers

Answer:

line n

Step-by-step explanation:

Line n goes through points A and G on the diagram.

Name the marked angle in 2 different ways.

Answers

1) angle DCB

2) angle BCD

Find the value of x that makes A || B.
A
N
B
5
5
22 = 3x – 10 and 23 = x + 30
x= [?]
I
Enter

Answers

Answer:

9

Step-by-step explanation:

Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3

What is the length of segment BC?

Answers

Answer:

3

Step-by-step explanation:

A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3

[tex]9 \div 3 = 3[/tex]

The length of the segment BC or preimage of BC was 3 units.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.

From the graph diagram the length of segment B'C' is 9 units.

Therefore, Before the dilation, the length of the segment BC would be

(1/3)×9.

= 3 units.

learn more about transformations here :

https://brainly.com/question/11709244

#SPJ2

Her result was x =-4.
A- What is the correct value of x? B- What was Samira’s error? Explain.

Answers

Can you be more specific because the question doesn’t make sense

find the value x in the figure :​

Answers

Answer:

[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]

Answer:

x = 3

step-by-step explanation:

Perimeter of rectangle = 2 ( l + b )

Where, we have

breadth is ( x + 6 ) cmlength is ( x + 2 ) cmPerimeter is 26 cm.

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

28 cm = 2 ( x + 2 + x + 6 )

combine like terms

28 cm = 2 ( 2 x + 8 )

distributing 2 through parantheses

28 cm = 2 × 2x + 2 × 828 cm = 4x + 16

subtract 16 from both side

28 cm - 16 = 4x + 16 - 1612 cm = 4x

divide both side by 4

12 cm / 4 = 4 x / 43 cm = x

What is the length of the shorter of the two chords shown? The length of the shorter chord is units.

Answers

Given:  The length of the chords are given.

To find: Here we need to identify which of the chord is having shorter length,

Solution: By the given option it is clear that the 13 units is the answer.

Therefore, the shorter of the two chords shown are 13 units.

Answer:

The person above is 13 13 13 13

Step-by-step explanation:

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

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