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Amiraneli [1.4K]
1 year ago
10

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

(1+cosβ)(1−cosβ)sinβ?
Select the correct answer below:

sinβ
sin3β
secβ
1
sec2β
Mathematics
1 answer:
just olya [345]1 year ago
7 0

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

brainly.com/question/13724581

#SPJ1

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y = 1/2x + 2

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Step-by-step explanation:

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3 years ago
What is the difference between squaring and taking the square root ?
wel

Answer:

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.

Step-by-step explanation:

Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

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2 years ago
What is the value of x -3(-x)-6=-3x+10
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3 years ago
HOW DO I FIND QR<br><br> PLEASE HELP
Paul [167]

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What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

  • (Hypotenuse)² = (Adjacent)² + (Opposite)²

  • (PR)² = (QR)² + (PQ)²

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After factorising both of them we get

  • (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)

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So, QR is √(16x² - 14x + 3)

8 0
2 years ago
Find the value of x in the triangle shown below
elixir [45]

Answer:

A) x=6

Step-by-step explanation:

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x=6

3 0
2 years ago
Read 2 more answers
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