Find the values of the following:

Question

Philoid · Accepted Answer

Let us consider tan^-1(1) = x then we get

We know that range of the principle value branch of tan^-1 is

Therefore,

Let

We know that range of the principle value branch of cos^-1 is [0, π]

Therefore,

Let

We know that range of the principle value branch of sin^-1 is

Therefore

Now,