Question

If Sin inverse of x minus Cos inverse of x equal to pi by 6 then value of x is

Answer 1

Answer:

$\frac{ \sqrt{3} }{2}$

Step-by-step explanation:

sin inv x - cos inv x =

$\frac{\pi}{6}$

we know that

sin inv x + cos inv x =

$\frac{\pi}{2}$

adding both equations, we get

2sin inv x =

$\frac{4\pi}{6}$

sin inv x =

$\frac{\pi}{3}$

x = sin (π/3)

x = ( root3 )/ 2