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Question

The general solution(s) of the equation cosθ+cos7θ=0 can be (nZ)

A
θ=(2n+1)π4
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B
θ=(2n+1)π8
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C
θ=(2n+1)π6
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D
θ=(2n+1)π3
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Solution

The correct option is C θ=(2n+1)π6
cosθ+cos7θ=0
2cos4θ.cos3θ=0
cos4θ=0 or cos3θ=0
4θ=(2n+1)π2 or 3θ=(2n+1)π2
θ=(2n+1)π8 or θ=(2n+1)π6

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