What is the period of sin and cos?

Both sin(x) and cos(x) have a period of 2π radians (360 degrees). This means the function repeats every 2π units.

What is the period of tan?

tan(x) has a period of π radians (180 degrees), which is half the period of sin and cos.

📈 Trigonometry Graphing Tool

Plot sine, cosine, and tangent functions. Adjustable amplitude and period.

Trigonometry Graphing Tool

Function

Amplitude

Period

Function Equation

y = 1 × sin(x)

Period: 2π / period

Visualize trigonometric functions with our interactive graphing tool. Plot sin(x), cos(x), and tan(x) functions, adjust amplitude and period, and see how changes affect the graphs. This tool helps you understand the periodic nature and properties of trigonometric functions.

Function Characteristics

Key properties of trigonometric functions.

sin(x): Period: 2π, Range: [-1, 1]

Sine is a periodic function with period 2π.

cos(x): Period: 2π, Range: [-1, 1]

Cosine is a periodic function with period 2π.

tan(x): Period: π, Range: (-∞, ∞)

Tangent has vertical asymptotes and period π.

Use Cases

Common applications of trigonometric graphs.

🎓

Education

Understanding function behavior
Learning periodicity
Visualizing transformations

📊

Analysis

Comparing function properties
Finding zeros and extrema
Understanding phase shifts

Frequently Asked Questions

Common questions about trigonometric graphs.

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Last updated: 2025-10-21 — Compiled and reviewed by Calvin (Math Research, FreeCalculators.app)