Differentiate the following functions with respect to x:
Now
Using sin2θ + cos2θ = 1
y = sin–1(sinθ)
Considering the limits,
0 < x < 1
0 < cos θ < 1
Now, y = sin–1(sinθ)
y = θ
y = cos–1x
Differentiating w.r.t x, we get