How to Use Trig Functions to Make a Picture

Trigonometric functions can be combined to create pictures.
••• BananaStock/BananaStock/Getty Images

Trigonometric functions are functions that from specific line patterns when graphed. Trigonometric functions include sine, cosine, tangent, secant and cotangent. Once you master trigonometric functions you can use them to form pictures or replicate naturally occurring shapes. The key is learning to use each equation and mastering the techniques for manipulating the lines.

    Determine which trigonometric function will work best for the design you are creating. For vertical wavy lines, use tangent. Horizontal wavy lines are created by sine and cosign. Secant lines are straight and intersect to form limits.

    Adjust the vertical stretch of your lines by placing a fraction over one on the “y” side of your equation.

    Adjust the vertical translation of the lines by adding or subtracting from “y”.

    Adjust the horizontal stretch of the lines by multiplying by the trig function.

    Adjust the horizontal translation of the lines by adding or subtracting from “x”.

Related Articles

How to Measure an Angle Without a Protractor
How to Plot Line Segments on Graphing Calculator
How to Use a Graphing Calculator
How to Write Functions in Math
How to Find Equations of Tangent Lines
How to Find a Parallel Line
How to Find X & Y Intercepts on a Graphing Calculator
How to Find Slope on the TI Nspire
How to Determine if an Equation Is an Identity?
How to Find X-Intercept & Y-Intercept
Ways to Make Parallel Lines & Perpendicular Lines
How to Figure Out the Slope of a Line
How to Calculate Angles Without a Protractor
How to Graph the Y-Intercept as a Fraction
How to Find The Slope of a Line Given Two Points
How to Draw Pictures on a Graphing Calculator
How to Make a Hexagon on Grid Paper
How to Calculate Slope Ratio
How to Calculate a Horizontal Tangent Line
How to Convert Graphs to Equations