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Question

The general solution(s) of the equation cosθ+cos7θ=0 can be (nZ)
  1. θ=(2n+1)π4
  2. θ=(2n+1)π8
  3. θ=(2n+1)π6
  4. θ=(2n+1)π3


Solution

The correct options are
B θ=(2n+1)π8
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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