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Inverse Trigonometric Functions question

2021 · 16 Mar · Shift 2 · Q36
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  5. /2021 · 16 Mar · Shift 2 · Q36

Inverse Trigonometric Functions question

2021 · 16 Mar · Shift 2 · Q36

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin⁡−1(3x5)+sin⁡−1(4x5)=sin⁡−1x{\sin ^{ - 1}}\left( {{{3x} \over 5}} \right) + {\sin ^{ - 1}}\left( {{{4x} \over 5}} \right) = {\sin ^{ - 1}}xsin−1(53x​)+sin−1(54x​)=sin−1x is equal to :
  1. A
    2
  2. B
    0
  3. C
    3
  4. D
    1
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