Find the Domain and Range y=cos(1/2theta)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

The range is the set of all valid ${\displaystyle y}$ values. Use the graph to find the range.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain: ${\displaystyle (-\infty ,\infty ),\left\{\theta \right|\theta \in ℝ\}}$

Range: ${\displaystyle [-1,1],\left\{y\right|-1\le y\le 1\}}$