Trigonometry

Study of triangles and trigonometric functions including sine, cosine, and tangent.

Advanced Topics

Graphs of Trigonometric Functions

Seeing Trig in Action: Graphs

Trigonometric functions can be graphed to show how they change as angles increase.

  • Sine and Cosine functions create smooth, wave-like patterns called sine waves and cosine waves.
  • Tangent has a repeating pattern with vertical asymptotes.

Key Features

  • Amplitude: Height of the wave.
  • Period: How long it takes to repeat.
  • Phase Shift: How far the wave is shifted horizontally.

Why Graphs Matter

Graphs help visualize how trig functions behave, making it easier to predict and understand their properties.

Examples

  • The graph of y = sin(x) starts at 0 and goes up to 1, down to -1, and repeats.

  • y = cos(x) starts at 1 when x = 0 and follows a wave pattern.

In a Nutshell

Graphs of trig functions show their patterns and help you see how angles affect their values.

Graphs of Trigonometric Functions - Trigonometry Content | Practice Hub