If $0 \le x \le \pi $ and ${81^{{{\sin }^2}x}} + \,\,{81^{{{\cos }^2}x}} = 30$, then $x$ is equal to

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

0 \le x \le \pi

and

{81^{{{\sin }^2}x}} + \,\,{81^{{{\cos }^2}x}} = 30

, then

x

is equal to

View answer and explanation

Correct option: A

\frac{\pi }{6}

Option A (

\frac{\pi }{6}

) is correct because it satisfies the given trigonometric equation after simplification and solving for x.

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