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Inverse Trigonometric Functions question

2021 · 26 Feb · Shift 1 · Q33

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JEE Main
Mathematics
Inverse Trigonometric Functions
2021 · 26 Feb · Shift 1 · Q33

Inverse Trigonometric Functions question

2021 · 26 Feb · Shift 1 · Q33

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If

{{{{\sin }^1}x} \over a} = {{{{\cos }^{ - 1}}x} \over b} = {{{{\tan }^{ - 1}}y} \over c}

;

0 \lt x \lt 1

, then the value of

\cos \left( {{{\pi c} \over {a + b}}} \right)

is :

A
${{1 - {y^2}} \over {2y}}$
B
${{1 - {y^2}} \over {y\sqrt y }}$
C
$1 - {y^2}$
D
${{1 - {y^2}} \over {1 + {y^2}}}$

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