Question

If `sin^-1(x/13) + cosec^-1(13/12) = pi/2`, then the value of x is ______

Options

• 5

• 4

• 12

• 11

Answer 1

If `sin^-1(x/13) + cosec^-1(13/12) = pi/2`, then the value of x is 5.

Explanation:

`sin^-1(x/13) = pi/2 - cosec^-1(13/12)`

= `sec^-1(13/12) = cos^-1(12/13)`

∴ `sin^-1(x/13) = sin^-1(5/13)`

∴ x = 5