Trigonometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Evening shift · Q4072

JEE Main 202116 Mar, Evening shiftMathematicsMediumTrigonometry118× since 2002

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy

{\sin ^{ - 1}}\left( {{{3x} \over 5}} \right) + {\sin ^{ - 1}}\left( {{{4x} \over 5}} \right) = {\sin ^{ - 1}}x

is equal to :

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JEE Main 2021 Trigonometry Question with Solution (16 Mar Evening shift, Q4072) | JEE Arc

JEE Main 2021 · 16 Mar, Evening shift · Q4072

JEE Main 202116 Mar, Evening shiftMathematicsMediumTrigonometry118× since 2002

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy

{\sin ^{ - 1}}\left( {{{3x} \over 5}} \right) + {\sin ^{ - 1}}\left( {{{4x} \over 5}} \right) = {\sin ^{ - 1}}x

is equal to :