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Question

If 1+sinx+sin2x+sin3x+.... is equal to 4+23,0<x<π, then x is equal to

A
π6
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B
π4
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C
π3 or π6
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D
π3 or 2π3
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Solution

The correct option is D π3 or 2π3
We have
1+sinx+sin2x+sin3x+...=4+23
11sinx=4+23
sinx=114+23=32
x=π3 or 2π3

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