Graphing Trigonometric Functions: Sin, Cos, Tan, Sec, Csc, and Cot

These lessons, with videos, examples and step-by-step solutions, help Algebra 2 students learn how to graph the Sin, Cos, Tan, Sec, Csc, and Cot functions.

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The following diagrams show the graphs the trig functions: sin, cos, tan, csc, sec, and cot. Scroll down the page for more examples and solutions on trig function graphs.

Trig Function Graphs

Graphing Reciprocal Trigonometric Functions
The three cofunction identities are useful because they can be used to convert, for example, sine into cosine or any trig function into its cofunction. When graphing reciprocal trigonometric functions, first find the values of the original trig function. Take the reciprocal of each value and plot the ordered pair in the coordinate plane.

This lesson shows how to graph the reciprocal trigonometric functions (y = csc x, y = sec x and y = cot x) using the y = sin x, y = cos x and y = tan x functions.

How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions?

Graphing the Cotangent Function
Illustrations the graph of the cotangent function using the cotangent segment.
Explains how to graph cotangent using reciprocal values of the tangent function

Graphing Cosecant and Secant
How to graph Cosecant and Secant using Sine and Cosine?

Graphing the secant and cosecant functions

Graphing secant, cosecant, tangent and cotangent graphs

Graphing the Trigonometric Functions
A quick sketch of the 6 trigonometric functions: sine, cosine, tangent, cosecant, secant, cotangent

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