Show that \sqrt{2 + \sqrt{2 + \sqrt{2 + 2 \cos

ahaar412rs7

ahaar412rs7

Answered question

2022-05-01

Show that 2+2+2+2cos8θ=2cosθ

Answer & Explanation

pecanjima9vo

pecanjima9vo

Beginner2022-05-02Added 11 answers

2+2+2+2cos8θ
Firstly, 2+2cos8θ=2+2(2cos24θ1)=4cos24θ
2+2+2+2cos8θ=2+2+2cos4θ
Then, 2+2cos4θ=2+2(2cos22θ1)=4cos22θ
2+2+2cos4θ=2+2cos2θ
Finally, 2+2cos2θ=2+2(2cos2θ1)=4cos2θ
2+2+2cos2θ=4cos2θ=2cosθ

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