What will be the value of sin10° - \(\frac{4}{3}\)sin310°.

1 \(\frac{1}{6}\) \(\frac{1}{2\sqrt {3}}\) 0

\(\frac{1}{6}\)

sin10° - \(\frac{4}{3}\)sin310° =\(\frac{3sin10°-4sin^310°}{3}\) We know, sin3θ = 3sinθ - 4sin3θ So, \(\frac{sin3θ}{3}\) =\(\frac{sin3×10}{3}\) ⇒ \(\frac{1}{2×3}\) = \(\frac{1}{6}\)