Q.

The domain of the function defined by f(x)=sin-1x+cosx  is:

1 [-1,1]  
2 [-1,π+1]  
3 (-∞,∞)  
4 ϕ  

Ans.

(1)

Ans.     [-1,1]

Explanation:

The domain of cosx is R and the domain of sin-1x is [-1,1].

∴  The domain of cosx+sin-1x is R∩[-1,1], i.e., [-1,1].