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...

In this trigonometry worksheet students determine the number of solutions for the problem sin x = x/100.  The one page worksheet contains one problem with solution. 

For this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...

In this function worksheet, students solve 4 different types of equations related to functions. First, they determine a particular solution to the low pass and plot the input and output of the same axes and compare. Then, students...

Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...

Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...

Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...

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...

Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...

Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...

Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

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.

Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...

Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....

The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...

In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.

In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.

For this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.

In this trigonometry worksheet, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...

In this trigonometric identities worksheet, high schoolers solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. High schoolers factor trigonometric...

In this triangle worksheet, students solve 1 word problem about the lengths of a triangle. Students determine the length of the longest side given the ratio of the angle measures.

In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.

In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven...