Trigonometric Identities Teacher Resources

In this trigonometric ratios worksheet, students solve 20 short answer and multiple choice problems.  Students use trigonometric ratios, the angle of depression, and angle of elevation to find missing side lengths of angles of a triangle.

Sal takes the mystery out of the trigonometric identities by showing how easily they can be derived. He continues with a problem he started in the video �Trig identities part three (part five if you watch the proofs) and proves the trig...

For this right triangle trigonometry worksheet, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page worksheet contains 32 problems. Answers...

In this trigonometry worksheet, students match trig expressions to their exact value, evaluate trig equations, graph trig equations, and prove trig identities. There are 61 questions.

In this trigonometric function worksheet, 10th graders solve and complete 26 various types of problems. First, they use a calculator to find each value and each angle. Then, students state which trig function they used to find each given...

In this trig functions instructional activity, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They...

Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...

In this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...

In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how one can use SOH-CAH-TOA to find the coordinates on the circle.

Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...

Students measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.

What happens when you don't have enough information to use the Pythagorean Theorem? Time for some trig! The second lesson in a series of four introduces the definition of sine, teaches how to find the sine ratio of a right triangle, and...

For this pre-calculus review worksheet, high schoolers solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded...

Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...

In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.

This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...

Discover trigonometric ratios that complement each other. Using two videos, the instructional activity introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.

Find out what to do with Ferris wheels that keep going up and down. Individuals learn how to determine the frequency of a trigonometric function. Pupils use their knowledge of trigonometric functions to model periodic motions like Ferris...

In this trig. identities worksheet, students connect the dots to equivalent values.  Then students find the isosceles right triangle formed.  Solutions are provided.

For this finding trigonometric ratios worksheet, 11th graders solve and complete 22 various types of problems. First, they find the value of each trigonometric ratio to the nearest ten-thousandth. Then, students use a calculator to find...

In this trigonometry worksheet, students derive the 6 different trigonometric identities. They use the identities to solve problems by multiplication of trig ratios. There are 102 trig questions to be solved.

In this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...

Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...

Take ratios of sides to a new level. Pupils learn the definitions of the three basic trigonometric ratios in right triangles. Using the definitions, scholars find missing lengths in right triangles, based on a known angle. Individuals...