What is the domain of f(x)=cos(x)+sqrt(sin(x)-1) ?

The domain of f(x)=cos(x)+sqrt(sin(x)-1) is x= pi/2+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=cos(x)+sqrt(sin(x)-1)

domain

f (x) = cos (x) + sin (x) - 1

x = \frac{π}{2} + 2 πn

Decimal

x = 1.57079 \dots + 2 πn

Solution steps

Find non-negative values for radicals:

x = \frac{π}{2} + 2 πn

The function domain

x = \frac{π}{2} + 2 πn

What is the domain of f(x)=cos(x)+sqrt(sin(x)-1) ?
The domain of f(x)=cos(x)+sqrt(sin(x)-1) is x= pi/2+2pin