JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

x=\sin ^2 \theta \cos \theta

and

y=\cos ^2 \theta \sin \theta

, then which of the following is true ?

0 < \theta < \frac{\pi}{2}, x > y > 0

View answer and explanation

Correct option: B

\left(\frac{x^2}{y}\right)^{\frac{2}{3}}+\left(\frac{y^2}{x}\right)^{\frac{2}{3}}=1

Option B (

\left(\frac{{x^2}}{{y}}\right)^{\frac{{2}}{{3}}}+\left(\frac{{y^2}}{{x}}\right)^{\frac{{2}}{{3}}}=1

) is correct because it is the result of simplifying the given equations using trigonometric identities.

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