Question

If \(\sin5x+\sin3x+\sin x=0\), then the value of \(x\) other than zero lying between \(0\leq x\leq \frac{\pi}{2}\) is

• A. \(\frac{\pi}{6}\)
• B. \(\frac{\pi}{3}\)
• C. \(\frac{\pi}{12}\)
• D. \(\frac{\pi}{4}\)

Hint:

When three sine terms are given, try combining the first and last using \(\sin A+\sin B\). This often creates a common factor.

Answer 1

The Correct Option is B