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Maximum value of $\sin^4\theta +\cos^6\theta $

Source: MTRP 2015 Class 11-Multiple Choice Question: Problem 12 :-

September 21, 2020

trigonometryalgebraTrigonometric Equations

Problem Statement

Maximum value of

\sin^4\theta +\cos^6\theta

will be ?
[*]

\frac{1}{2\sqrt{2}}

[*]

\frac{1}{2}

[*]

\frac{1}{\sqrt{2}}

[*] 1