We are given that,

…(i)

We need to find the value of x.

By using the property of inverse trigonometry,

We can find the value of sin^-1 x in the terms of cos^-1 x.

Substituting the value of sin^-1 x in equation (i),

Simplifying it further,

Multiplying cosine on both sides of the equation,

Using property of inverse trigonometry,

cos[cos^-1 x] = x

And we know the value,

Therefore,