If sin⁻¹ (x/5) + cosec⁻¹ (5/4) = (π)/2, then the value of x is:

Trigonometry: JEE Main 2007 Mathematics question

JEE Main 2007 · Annual, Paper 1 · Q4085

JEE Main 2007Annual, Paper 1MathematicsMediumTrigonometry118× since 2002

If sin⁻¹

\left( {{x \over 5}} \right)

+ cosec⁻¹

\left( {{5 \over 4}} \right)

{\pi \over 2}

, then the value of x is :

JEE Main 2007 · Annual, Paper 1 · Q4085

JEE Main 2007Annual, Paper 1MathematicsMediumTrigonometry118× since 2002

If sin⁻¹

\left( {{x \over 5}} \right)

+ cosec⁻¹

\left( {{5 \over 4}} \right)

{\pi \over 2}

, then the value of x is :