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Inverse Trigonometric Functions question

2021 · 27 Aug · Shift 1 · Q24
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  5. /2021 · 27 Aug · Shift 1 · Q24

Inverse Trigonometric Functions question

2021 · 27 Aug · Shift 1 · Q24

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
If (sin⁡−1x)2−(cos⁡−1x)2=a{({\sin ^{ - 1}}x)^2} - {({\cos ^{ - 1}}x)^2} = a(sin−1x)2−(cos−1x)2=a; 0 < x < 1, a eee 0, then the value of 2x2 −-− 1 is :
  1. A
    cos⁡(4aπ)\cos \left( {{{4a} \over \pi }} \right)cos(π4a​)
  2. B
    sin⁡(2aπ)\sin \left( {{{2a} \over \pi }} \right)sin(π2a​)
  3. C
    cos⁡(2aπ)\cos \left( {{{2a} \over \pi }} \right)cos(π2a​)
  4. D
    sin⁡(4aπ)\sin \left( {{{4a} \over \pi }} \right)sin(π4a​)
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