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Question

Find the principal solution of sin x + sin 3x +sin 5x = 0


  1. x=0

  2. x=π6

  3. x=π3

  4. x=π2


Solution

The correct options are
A

x=0


C

x=π3


sin x+sin 3x+sin 5x=0(sin x+sin 5x)+sin 3x=02sin 3x cos 2x+sin 3x=0sin 3x(2cos 2x+1)=0sin 3x=0 or cos 2x=123x=0 or 2x=2π3x=0 or x=π3

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