Question

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

Answer 1

If x = 0°, 90°, 180°, 270°, 360°, then
\[\sin^{14} x + \cos^{20} x\text{ will always be 1 .}\]
The smallest interval in which the value of x lie is \[(0, 1)\].