Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...

What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...

Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...

In this trigonometric functions worksheet, students solve and complete 4 different types of problems. First, they decide whether the given equation defines y to be a function of x and find the domain. Then, students graph each function...

In this graphing trigonometric functions worksheet, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition, they find...

For this inverse trig worksheet, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find the...

Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...

Students rewrite word problems using the correct symbols. In this algebra instructional activity, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.

Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.

How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...

Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...

Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...

Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...

Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...

In this graphing trigonometric functions worksheet, learners graph 1 sine equation.  Students plot the graph of the function y=-0.5sin(-3x).

In this equations learning exercise, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This...

In this equations of graphs worksheet, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...

Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...

In this interpolating function worksheet, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...

For this end of trig worksheet, students solve and complete 18 different problems. First, they solve each equation by comparing each set of terms. Then, students determine the sine, cosine and tangent for each problem shown.

In this trigonometric functions activity, students calculate the domain and range of the three basic trig functions. There are 6 equations.

For this trigonometric functions worksheet, learners sketch trigonometric functions, solve equations, and find values within given intervals.

Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.

Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.