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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1
The number of triplets (x,  y,  z)\left( {x,\;y,\;z} \right) satisfying sin⁡−1x+cos⁡−1y+sin⁡−1z=2π,  {\sin ^{ - 1}}x + {\cos ^{ - 1}}y + {\sin ^{ - 1}}z = 2\pi ,\; is
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Correct option: C
1
Option C (1) is correct because the equation is satisfied only when x = 1, y = -1, and z = 1, resulting in a single triplet.

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