What’s number 15-17 ty

Considering only the values of β for which (1+cosβ)(1−cosβ)sinβ is defined, which of the following expressions is equivalent to

just olya [345]

The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β

<h3>What are Trigonometric Ratios ?</h3>

In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.

The trigonometric expression given in the question is

(1+cosβ)(1−cosβ)sinβ

(a+b)(a-b) = a² - b²

( 1 - cos²β)sinβ

By the trigonometric Identity

1-cos²β = sin² β

sin² β x sin β

sin³β

Therefore Option B is the correct answer.

To know more about Trigonometric Ratio

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7 0

2 years ago

Help me please this was due yesturday

stepan [7]

Step-by-step explanation:

Slope intercept form is

$y = mx + b$

where m is the slope( average rate of change) and b is the

y intercept( the y value when x is zero).

When x=0, y is 2. This means b=2

Slope is change in y value/ change in x value. Another obvious arbitrary point we are given is (-8,0).

So let use the formula we given.

So our slope is 1/4 so our equation is

1/4x+2

6 0

3 years ago

A recipe used 2/3 cup of sugar for every 2 teaspoons of butter. How much sugar was used per teaspoon of butter

myrzilka [38]

Answer:

2/3cups 2 teaspoons

(2/3 )cups/2teaspoons =1/3 cups per teaspoon

Answer= 1/3 cups per teaspoon

8 0

3 years ago

Read 2 more answers

-1(-2x + 4) = 6 Hellooooooooooo

butalik [34]

Answer:

x=5

Step-by-step explanation:

First we distribute

2x-4=6

isolate x

2x=10

divide both sides by 2

x=5

(plz give brianliest ty)

6 0

3 years ago

Read 2 more answers

How to simply 7a+3(9+5a)?

makvit [3.9K]

To solve for this, we need to use the Distributive Property, which allows us to multiply the number/variable outside of the parenthesis by all numbers/variables inside of the parenthesis. Once we've done that, we can attempt to simplify the equation.
Our current equation is:
7a + 3(9+5a) = 0
Let's use the Distributive Property.
3(9 + 5a)
3(9) + 3(5a)
27 + 15a
Our current equation now is:
7a + 27 + 15a = 0
Combine like-terms.
15a + 7a = 22a
22a + 27 (If this is not being solved, THIS is your answer as an expression)
Subtract 27 from both sides
22a = -27
Divide both sides by 22 to get a.
a = -27/22.
If we are not solving for a, but getting an expression, your answer is:
22a + 27.
If we are solving for a, our answer is:
a = -27/22.
I hope this helps!

4 0

3 years ago