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Question

2+2+2cos4θ is equal to

A
cosθ
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B
2cosθ
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C
cos2θ
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D
2cos3θ
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Solution

The correct option is B 2cosθ
Using cos2x=2cos2x1
We get
2+2+2cos4θ=2+2+2(2cos22θ1)
=2+2+4cos22θ2=2+2cos2θ
=2+2(2cos2θ1)=4cos2θ=2cosθ

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