Question
Asked Sep 5, 2019
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Use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2).

(1 + cos(θ))(1 − cos(θ))
=
 
 
  =
sin2(θ)
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Expert Answer

Step 1

Given trigonometric identity is:

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(1+cose)1-cos) = sin2 0

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Step 2

We need to show that, left side transform to right side.

Take left side 

Multiply both the factors using foil method.

FOIL stands for First, Outer, Inner, Last.

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(1+ cos)(1-cos l+ cos@)(1-cose) 1-cos0+cose-cos2 0 1-cos2 e

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Step 3

We have an ide...

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sin2 0cose= 1 sin2 0 1-cos20

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Tagged in

Math

Trigonometry

Trigonometric Ratios

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