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 ratios...
Flipped Math
Trig Ratios
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...
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...
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.
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.
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 triangles.
Curated OER
Trig Ratios of General Angles
In this trig ratios activity, students determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page activity contains 24 problems. Answers are provided on the last...
Curated OER
Law of Sines
In this Law of sines worksheet, 10th graders solve 10 different sets of problems related to the Law of Sine and Ambiguous case. First, they determine the ratio of the sides of the triangle with the given measurements. Then, students...
Curated OER
Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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.
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.
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...
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
The Laws of Sines and Cosines Made Simple!
Students explore the concept of law of sines and cosines. In this law of sines and cosines lesson, students construct a triangle tool from card stock and markers. Students use their triangle tool to aid in solving problems involving...
Curated OER
Law of Sines
Students identify the ratios of a right triangle. In this calculus lesson plan, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
Curated OER
The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. For 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.
EngageNY
An Area Formula for Triangles
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....
Curated OER
Trigometric Ratios
This lesson requires a worksheet that is not connected. It is integral to the lesson.
Curated OER
Finding Trigonometric Ratios
In 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...
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
Mnemonics to Remember Your Trig Ratios
In this calculus worksheet, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
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
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.