Question

4sin inverse(x)+cos inverse(x)=pie then find the value of x

Answer 1

It’s simplest to set

y=arcsin(x)

and to observe that

arccos(x)=90°-y

In terms of y then,

4 y + 90°-y = 180°

So

3y = 90°

y = 30°

x = sin(y) = 1/2