What will be the value of sin 10° - 4/3 sin310° ?

sin 10° - \(\frac{4}{3}\)sin³10° 

= \(\frac{3sin 10° - 4 sin³10° }{3}\)

We know , 3sin A - 4 sin³A = sin 3A

= \(\frac{sin 3 × 10°  }{3 }\)

= \(\frac{1}{3}\) × \(\frac{1}{2}\)

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