CK-12 Foundation
Sine, Cosine, and Tangent Functions: Lighthouse
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances...
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive instructional activity and an excellent worked out answer key. The instructional activity itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig...
Curated OER
Trigonometric Ratios
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
Curated OER
Precalculus Test Sections 5.1 - 5.2
In this section worksheet, students simplify given addition and division problems containing ratios with sine, cosine, and tangent. They factor problems and prove identities. This two-page worksheet contains 12 problems.
Curated OER
Trigonometry Formula Worksheet
In this trigonometry worksheet, students solve right triangle problems. They find the sine, cosine and tangent of given triangles. This on-line, interactive worksheet contains 6 problems. Answers are provided.
Curated OER
Trig Ratios of General Angles
In this trig ratios worksheet, students determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page worksheet contains 24 problems. Answers are provided on the last...
Curated OER
Applied Trigonometry Problems
In this applied trigonometry problems activity, students solve 12 short answer word problems. Students use trigonometric ratios to find angles of elevation and depression. Students find distances between objects using trigonometric...
Curated OER
Circles
In this circles worksheet, 10th graders solve and complete 13 various types of problems. First, they solve each set of triangles for the given variable. Then, students name a radius, a diameter, a tangent, a secant, a point of tangency,...
Curated OER
Functions
For this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...
Curated OER
Angles in Circles
In this angles in circles learning exercise, 10th graders solve 10 different problems that include tangents and chords and intersecting chords. First, they find x when given 2 intersecting chords. Then, students determine x given the...
Texas Instruments
What's the Trig?
Learners determine the trigonometric relationships within a triangle as they construct a right triangle on the Ti-89. They find the sine, cosine, and tangent of various angles of their triangle construction.
Curated OER
Circles
In this circles instructional activity, 10th graders solve 10 different problems that include determining the chords, secants, and tangents of circles shown. First, they determine 4 different line segments given a circle with secants and...
Curated OER
Finding the Sum of the Perimeters of 3 Small Circles
In this geometry worksheet, students find the sum of the perimeters of three small circles. These small circles are tangent to each other and to a larger circle. The centers of the small circles have their centers on the...
Curated OER
Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
Virginia Department of Education
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this instructional activity, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and...
Project Maths
Trigonometric Functions
From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars...
Curated OER
Integrals with Secant Powers of Secant Tangent
Twelfth graders integrate trig functions with even powers. In this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Curated OER
Using Trinonometry to Find Angle Measures
In this trigonometric ratios activity, students find the missing angle of 20 triangles by using sine, cosine and tangent ratios. Students compute the angle measurement of given ratios for six problems.
Curated OER
Trigonometric Identities
Students calculate the six trigonometric identities. In this algebra lesson, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are graded...
Curated OER
Trigonometry: Labeling, Formulas, Solving
In this math worksheet, students label sides of right triangles as opposite, hypotenuse, and adjacent to the labeled angle. On the second page of the worksheet, students label the part of the right triangle marked with a question mark...