Explanation

Trigonometric functions extend the ratios to all real numbers using the unit circle.

• sin(x), cos(x), tan(x), csc(x), sec(x), cot(x)

• Domain: values x can take

• Range: values the function outputs

Example (unit circle):

• sin(0) = 0

• cos(0) = 1

• tan(π/4) = 1

Key idea: Trig functions describe periodic patterns (waves) in angles and triangles.