Question

The domain of the function defined by f(x) = sin^–1x + cosx is ______.

Options

• [–1, 1]

• [–1, π + 1]

• `(– oo, oo)`

• φ

Answer 1

The domain of the function defined by f(x) = sin^–1x + cosx is [–1, 1].

Explanation:

The domain of cos is R and the domain of sin^–1 is [–1, 1].

Therefore, the domain of cosx + sin^–1x is R ∩ [–1,1] 

i.e., [–1, 1].