Right Triangle Trigonometry Definitions

Given triangle ABC,

There are six possible side ratios named: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent.

The Pythagorean theorem applies,

Special 30-60-90 triangle:

Special 45-45-90 triangle:

Special Trig Function Values:

Pythagorean triples (primitives) with c ≤ 100:

Note: (6, 8, 10) is not a primitive because it is a multiple of (3, 4, 5).

Trigonometric functions of special angles in classic table form:

Graphing Sine, Cosine, and Tangent

General form for the sine and cosine functions.

One cycle of sine: period 2π

One cycle of cosine: period 2π

General form for the tangent function.

One cycle of tangent in green: period π