Use trigonometric identities to simplify the expression.

cot(β+π)sin(β

Answers

Answer 1

Answer:

cosβ

Step-by-step explanation:

cot(β+π)sinβ

cot(x)=cos(x)/sin(x), so we can rewrite our expression as:

(cos(β+π)/sin(β+π)) * sinβ

sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:

(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)

cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:

(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)

cosπ=-1 and sinπ=0, so we can rewrite our expression as:

(-cosβ)/(-sinβ) * sin(β)

(-cosβ)/(-sinβ) * sin(β)

=(cosβ/sinβ)(sinβ)

=cosβ


Related Questions

The area of the triangle below is 25/72 square meters. What is the length of the base?

Answers

Answer:5/6

Step-by-step explanation:


Angle Relationship: Complementary OR Supplementary

Answers

Answer:

supplementary because this is not a 90 degree angle

also i know this person, if anyone want someone to do there homework they can text yktv.sham on insta gram and you can pay her

Find the value of x.
PLEASE HELP

Answers

To find the value of X bring the variable to the left side and bring all remaining variables to the right side simplify the values to find the result

factor the polynominal 5x^2y + 6x^2y^3 - 3x^3y^2

Answers

Answer: x^(2)y(5+6y^(2)-3xy)

Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)

brainliest or a thank you please! :) <33

Please help me I'm so bad at math and doing AFDA really doesn't help..
find a, b, c in this equation, much appreciated!

Answers

Answer:

Step-by-step explanation:

a= 2x square

b= -7x

c= 17

have a nice day!

can you choose me brainliest?

someone help me ASAP

NO LINK​

Answers

This pie chart is split into fourths each part of the chart being a different color. Blue, yellow, green, and red. Therefore there is four possible outcomes each outcome having a 25% chance.

The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

[tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

[tex](y-y_1)=m(x-x_1)[/tex]

Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

[tex](y-(-6))=-2(x-4)[/tex]

[tex]y+6=-2(x-4)[/tex]

What is the area of sector?

Answers

Answer:

a

Step-by-step explanation:

since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63

Four friends share 3 sheets of construction paper equally. What fraction
of a sheet of paper does each friend get?

Answers

Answer:

0.75 or 3/4 sheet of paper

Answer:

3/4 of each sheet

Step-by-step explanation:

You have to divide the number of sheets of paper by the number of people sharing them, which gives you 3/4. This makes sense because if there are more people than paper, each person will get less than a full sheet.

Find tan 0.
(Marking brainliest if correct)

8/17
15/17
15/8
8/15

Answers

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

The value of tangent of the angle θ, i.e., tan θ = 15/8.

Hence the correct option is c.

Given is a right triangle, with base = 8 units and the hypotenuse is 17 units,

The angle θ which is between the base and the hypotenuse,

We need to find the value of tangent of the angle θ, i.e., tan θ.

To find the value of tangent (tan) of the angle θ, we can use the definition of tangent in a right triangle.

The tangent of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the base of the triangle is given as 8 units, and the hypotenuse is given as 17 units.

To find the length of the side opposite θ, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the length of the side opposite θ:

(side opposite θ)² + (base)² = (hypotenuse)²

(side opposite θ)² + 8² = 17²

(side opposite θ)² + 64 = 289

(side opposite θ)² = 289 - 64

(side opposite θ)² = 225

side opposite θ = √225

side opposite θ = 15 units

Now that we have the lengths of the side opposite θ and the side adjacent to θ, we can calculate the tangent of the angle θ:

tan θ = (side opposite θ) / (base)

tan θ = 15 / 8

Therefore, the value of tangent (tan) of the angle θ is 15/8.

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The radius of a circle is 8 feet. What is its diameter?

Answers

Answer:

8 × 2 = 16 feet

Step-by-step explanation:

If radius is 'r' then multiplying it by 2 will give you the diameter.

Find 110.9% of 133. Round to the nearest hundredth.

Answers

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

Question 4
What is the distance between the points (-6, 7) and
(-1, 1)? Round to the nearest whole unit.
A.about 61 units
B.about 8 units
C.about 13 units
D.about 7 units

Answers

Answer:

B

Step-by-step explanation:

to find the distance between both subtract (-1,1)-(-6,7)= (5,-6)square both then add finally find tge squareroot. squareroot(5^2+(-6)^2)= sqareroot 61 = 7.8 to whole unit= 8 unitanswer 8unit

Abigail is using her mother's pancake recipe, but she wants to make 60% more pancakes than the recipe usually prepares. If her mother's recipe calls for 1/2 cup of flour, how much flour will Abigail need to use?

Answers

Answer:

1 and 1/4 cup of flour

Step-by-step explanation:

Abigail needs to use 3/4 cup more flour

Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2

Answers

Answer:

x=65

Angle 1=65

Angle 2=115

Step-by-step explanation:

We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.

ANSWER WITH WORK SHOWN or I will issue a special Perma Ban Bot to conclude a Permanant IP Ban to your account.

Answers

Answer:

4) 6m, 8m, 10m

Step-by-step explanation:

Use Pythagorean to determine the answer

#4

6² + 8² = 10²36 + 64 = 100100 = 100, yes

#5

8m + 16m = 24m, hence no triangle formed as per triangle inequality theorem

#6

20² + 21² = 28²400 + 441 = 784841 ≠ 784, no

What is the exact mean or average number of crabs found per site? 

Answers

Answer:

just add them however many crabs their are just add all of the totals together then divide your answer by two.

Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.
It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.
It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

Answers

Answer:

It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Step-by-step explanation:

(0,-3) goes on the straight line perfectly

(1, −1) goes on the straight line perfectly

(2, 1) goes on the straight line perfectly

this means that it is a linear function due to all the points being on the line

hope this helps!

The given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

How to solve this problem?

Given function y = 2x − 3.

Clearly, it is a straight line.

At x = 0, y = 2*0 - 3 = 0 - 3 = - 3

At x = 1, y = 2*1 - 3 = 2 - 3 = - 1

At x = 2, y = 2*2 - 3 = 4 - 3 = 1

So, the given straight line passes through the points (0, -3),  (1, -1), and (2, 1). Then the given function is a linear function.

Therefore, we can conclude that the given function y = 2x − 3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line. So, the first option is correct.

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U
7.
52°
V
т
х

Round it to the nearest tenth

Answers

Answer: so i got 31 but if you round it it will be 30 hope it helps

Step-by-step explanation:

Find the surface area of the cylinder and round to the nearest tenth.

Answers

Click the link for the answer



http.///bitily8288292

find x

help please asap

Answers

Answer:

i think it is 51 degrees

Step-by-step explanation:

___________________________________X = 58 ________________________________

is -6 or -3 bigger please help fnfrififnrrfee

Answers

Answer:

-3

Step-by-step explanation:

-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps

Elizabeth planted a garden in a 16 foot by 8 foot area. To calculate the square foot area of the garden, she multiplied 16 by 8 and got a product of 128 square feet Which equation could Elizabeth use to check her answer? A) 16 x 8 = 128 B) 128 - 8 = 16 © 128 + 8 = 136 D. 128 - 8 = 120 please help​

Answers

B  128 divide 8 = 16

took test

Answer:

128 / 8 = 16

Step-by-step explanation:

7W + 3 = -4W - 85

a. -11
b. 11
c. 8
d. -8

Answers

-8
Step 1) Subtract 3 from both sides of the equation
Step 2) Add 4W to both sides of the equation
Step 3) Divide both sides of the equation by the same factor

need help with calculation:

you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)​

Answers

Answer:

if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .

what is the solution of 6(a-5)-4a=4​

Answers

Answer:

Hi! The answer to your question is a = 17

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Each side of a square kitchen tile is 3 inches long. What is the tile's perimeter?


please no links, thank you!

Answers

The perimeter is 12 inches

3 x 4 = 12


Using the tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles?
Choose
ICECREAM
Choose
TOPPING
nuts
vanilla
sprinkles
nuts
Enter shop
strawberry
sprinkles
nuts
chocolate
sprinkles

Answers

Answer:

c

Step-by-step explanation:

in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter of trapazoid BMNC.

Answers

35

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

then ,perimeter=nc+mb+mn+bc=5+6+8+16=35

he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).

Answers

Answer:

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

Step-by-step explanation:

Step(i):-

Given that  National Center for Health Statistics interviewed 5409 adult smokers in 2015

Sample size 'n' = 5409

Given that 2666 of them said they had tried to quit smoking during the past year.

proportion

             [tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]

             Q = 1 - P = 1 - 0.49288 = 0.50712

Step(ii):-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]

[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]

(0.49288 - 0.01332 , 0.49288+0.01332)

(0.47956 , 0.50620 )

Final answer:-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

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