Question

If x = sin¹⁴ θ + cos²⁰ θ, then write the smallest interval in which the value of x lie.

Answer 1

If $\theta$ = 0$°$, 90$°$, 180$°$, 270$°$, 360$°$, then ${\sin }^{14}\theta +{\cos }^{20}\theta \mathrm{will}\mathrm{always}\mathrm{be}1.$

The smallest interval in which the value of x lie is $(0,1]$.