Visualize the behavior of sine, cosine and tangent functions. Understand amplitude, period, domain and range through interactive graphs.
The sine graph produces a smooth repeating wave. Its values range from -1 to 1.
The cosine graph is similar to sine but begins at its maximum value.
The tangent graph contains repeating vertical asymptotes.
A handy memory aid to remember ratios: Sine is Opposite/Hypotenuse, Cosine is Adjacent/Hypotenuse, and Tangent is Opposite/Adjacent.
The longest side of a right-angled triangle. It is always located directly opposite the 90-degree right angle.
Angles can be measured in degrees (0 to 360) or radians (0 to 2π). A complete circle is exactly 360° or 2π radians.
Right triangles follow the formula a² + b² = c². Therefore, sin²(θ) + cos²(θ) = 1.
Sine and Cosine are repeating wave cycles. Their values repeat continuously between -1 and 1.
Because tangent equals Opposite ÷ Adjacent, when the adjacent side becomes zero, tangent approaches infinity and becomes undefined.
Watch these carefully selected lessons to understand trigonometric functions, graphs, identities and the unit circle.