Trigonometry Examples

$y = \frac{3}{2} \cos (\frac{t}{2})$

Step 1

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

Interval Notation:

$[- \frac{3}{2}, \frac{3}{2}]$

Set-Builder Notation:

${y | - \frac{3}{2} \leq y \leq \frac{3}{2}}$

Step 2