Trigonometric Function Grapher
Graph sine, cosine, and tangent functions with customizable parameters! Adjust amplitude, period, phase shift, and vertical shift (y = A sin(B(x-C)) + D) to visualize trigonometric functions interactively. Perfect for students, educators, and math enthusiasts.
About Trigonometric Function Grapher
Welcome to our Trigonometric Function Grapher, an interactive tool designed to help you visualize and understand sine, cosine, and tangent functions. Whether you're a student learning trigonometry, a teacher creating lesson materials, or a math enthusiast exploring function transformations, this tool provides an intuitive way to graph and analyze trigonometric functions.
What is a Trigonometric Function?
Trigonometric functions are mathematical functions that relate angles to ratios of sides in right triangles. The three primary trigonometric functions are:
- Sine (sin): The ratio of the opposite side to the hypotenuse
- Cosine (cos): The ratio of the adjacent side to the hypotenuse
- Tangent (tan): The ratio of the opposite side to the adjacent side (or sin/cos)
Understanding the General Form: y = A sin(B(x - C)) + D
Trigonometric functions can be transformed using four key parameters:
- A (Amplitude): Controls the vertical stretch or compression. The amplitude is $|A|$, and it determines the height of peaks from the midline.
- B (Frequency): Affects the period of the function. Period = $\frac{2\pi}{|B|}$ for sine and cosine, $\frac{\pi}{|B|}$ for tangent.
- C (Phase Shift): Horizontal shift. Positive C shifts the graph to the right, negative C shifts it to the left.
- D (Vertical Shift): Vertical shift. Moves the entire graph up (positive D) or down (negative D).
Key Features of Our Trigonometric Function Grapher
- Interactive Visualization: See your trigonometric function graphed in real-time with adjustable sliders
- Customizable Parameters: Adjust amplitude, frequency, phase shift, and vertical shift
- Three Function Types: Graph sine, cosine, or tangent functions
- Real-Time Updates: Use sliders to modify parameters and watch the graph change instantly!
- Educational Explanations: Learn about function properties with step-by-step breakdowns
- Function Equation Display: See the mathematical equation of your transformed function
How to Use the Trigonometric Function Grapher
- Select Function Type: Choose between sine, cosine, or tangent
- Set Parameters: Enter amplitude (A), frequency (B), phase shift (C), and vertical shift (D)
- Click "Graph Function": Generate the interactive graph
- Use Interactive Sliders: Adjust parameters in real-time and see the graph update instantly!
Additional Resources
For more information on trigonometric functions, check out these resources:
- Trigonometric Functions - Wikipedia
- Trigonometric Functions - Wolfram MathWorld
- Trigonometry - Khan Academy
Reference this content, page, or tool as:
"Trigonometric Function Grapher" at https://MiniWebtool.com// from MiniWebtool, https://MiniWebtool.com/
by miniwebtool team. Updated: Nov 25, 2025
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