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

Question

2 years ago

10

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

sinβ
sin3β
secβ
1
sec2β

1 answer:

just olya [345] · Answer 1 · 2023-11-12T15:59:41+03:00

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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