If x = sin

Question:

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

Solution:

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

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

 

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