What will be the value of sin10° - 4/3 sin310°.

sin10° - \(\frac{4}{3}\)sin³10°

=\(\frac{3sin10°-4sin^310°}{3}\)

We know, sin3θ = 3sinθ - 4sin³θ

So, \(\frac{sin3θ}{3}\) =\(\frac{sin3×10}{3}\)

⇒ \(\frac{1}{2×3}\) = \(\frac{1}{6}\)