Find the domain of each of the following functions:f(x) = sin-1x + sin

1.	Find the domain of each of the following functions:f(x) = sin-1x + sin x
Answer» Domain of sin^-1 lies in the interval [-1, 1]. -1≤ x ≤ 1. The domain of sin x lies in the interval\([-\frac{\pi}2,\frac{\pi}2]\) \(-\frac{\pi}2\leq x\leq\frac{\pi}2\) -1.57 ≤ x ≤ 1.57 From the above we can see that the domain of sin^–1x + sin x is the intersection of the domains of sin^–1x and sin x. So domain of sin^–1x + sin x is [–1, 1].

Find the domain of each of the following functions:f(x) = sin-1x + sin x

Answer»

Domain of sin^-1 lies in the interval [-1, 1].

-1≤ x ≤ 1.

The domain of sin x lies in the interval\([-\frac{\pi}2,\frac{\pi}2]\)

\(-\frac{\pi}2\leq x\leq\frac{\pi}2\)

-1.57 ≤ x ≤ 1.57

From the above we can see that the domain of sin^–1x + sin x is the intersection of the domains of sin^–1x and sin x.

So domain of sin^–1x + sin x is [–1, 1].