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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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Given that the inverse trigonometric functions assume principal values only.
Let $x,y\in[-1,1]$ such that $\cos^{-1}x-\sin^{-1}y=\alpha$, with $-\dfrac{\pi}{2}\le\alpha\le\pi$.
Then, the minimum value of $x^{2}+y^{2}+2xy\sin\alpha$ is:
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