Practice Trigonometric Functions in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Trigonometric functions (sin, cos, tan, etc.) relate angles in right triangles to side ratios and extend to periodic functions of real numbers via the unit circle.

Angles have numbers associated with themβ€”sin, cos, tan capture different ratios.

Example 1

easy
Evaluate \sin\left(\frac{\pi}{6}\right) and \cos\left(\frac{\pi}{6}\right).

Example 2

medium
Find the exact value of \tan\left(\frac{5\pi}{4}\right).

Example 3

easy
Evaluate \cos\left(\frac{\pi}{3}\right).

Example 4

hard
If \sin\theta = \frac{3}{5} and \theta is in Quadrant II, find \cos\theta and \tan\theta.