EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
Curated OER
The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
EngageNY
What Is a Trigonometric Identity?
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.
Curated OER
The Sine and Cosine Ratios
In this geometry worksheet, 10th graders write the ratio that represents the sine and cosine of the indicated angle. The one page worksheet contains two multiple choice questions. Answers are included.
Curated OER
Sine, Cosine, and Tangent Ratios
In this ratios learning exercise, 11th graders solve and complete 8 various types of problems. First, they read each problems and draw a sketch for each. Then, students write a trigonometric ratio for each problem and round any decimal...
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
CK-12 Foundation
Fundamental Trigonometric Identities: Tangent Identity
An identity that thieves can't steal the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.
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...
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...
West Contra Costa Unified School District
Introduction to Trigonometric Functions
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
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...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Illustrative Mathematics
Finding Trig Values
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...
CK-12 Foundation
Tangent Graphs: Slope and Angle
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
Curated OER
Right Triangle Trigonometry: Finding Missing Sides and Angles
In this right triangle trigonometry worksheet, students find the measure of specified angles. Students determine the length of the missing side of a right triangle. This four-page worksheet contains 24 problems. Answers to the worksheet...
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Curated OER
Trigonometry Ratios in Right Triangles
In this trigonometry ratios in right triangles worksheet, 10th graders solve 10 different trigonometric ratios that apply to right triangles. First, they define a trigonometric ratio and its three most common ratios, sine, cosine, and...
Curated OER
Law of Sines
In this Law of Sines worksheet, students use trigonometric ratios to determine angle measurement and/or the length of the side of a triangle. This one-page worksheet contains ten trigonometric ratio problems.
Curated OER
Trigonometry Ratios
High schoolers identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
Curated OER
Cosine
In this cosine worksheet, students find the cosine of x for different measurements of triangles. Students complete 10 cosine problems.
Curated OER
Using Trinonometry to Find Angle Measures
In this trigonometric ratios worksheet, 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
Missing Angles
For this missing angle worksheet, students use trigonometry ratios to determine the measurement of a missing angle. Students identify sine, cosine and tangent ratios. This one-page worksheet contains ten problems.