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Inverse Trigonometric Functions question

2005 · Shift 0 · Q83

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2005 · Shift 0 · Q83

Inverse Trigonometric Functions question

2005 · Shift 0 · Q83

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If

{\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha ,

then

4{x^2} - 4xy\cos \alpha + {y^2}

is equal to :

A
$2\sin 2\alpha$
B
$4$
C
$4{\sin ^2}\alpha$
D
$-4{\sin ^2}\alpha$

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