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Question

Find m : 2+2+2+cos8θ=mcosθ

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Solution

2+2+2+2cos8θ=2+2+2(1+cos8θ)
=2+2+4cos24θ
=2+2+2cos4θ
=2+2(1+cos4θ)
=2+4cos22θ
=2+2cos2θ
=2(1+cos2θ)
=4cos2θ
=2cosθ
mcosθ=2cosθm=2

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