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...
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.
Illustrative Mathematics
Calculations with Sine and Cosine
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...
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
Law of Sines and Law of Cosines
In this sine and cosine worksheet, students use the law of sines and law of cosines to find the required part of a triangle. Examples and explanations are provided. This three-page worksheet contains 24 problems. Answers are listed at...
Curated OER
Using a Calculator (Sine, Cosine, Tangent)
In this calculator worksheet, learners use a calculator to solve given trigonometric ratios. They determine the sine, cosine and tangent of expressions. This one-page worksheet contains ten problems.
Curated OER
Sin, Cos and Tangent
Students find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.
Curated OER
Pre-Calculus Test Chapter 5: Identities
In this identities worksheet, learners match equivalent expressions containing sine, cosine, and tangent. They solve equations, find intervals, and determine all solutions to an interval. Students prove given identities. This...
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
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
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.
National Council of Teachers of Mathematics
Improving Archimedes' Method
For this Archmides' method instructional activity, students determine the area of a regular n-gon inscribed in a circle. They use sine and cosine functions to solve problems. This three-page instructional activity contains 4 multi-step...
EngageNY
End-of-Module Assessment Task - Geometry (module 2)
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving.
EngageNY
Awkward! Who Chose the Number 360, Anyway?
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...
Curated OER
Sine Cosine Game
In this algebra activity, students are given a word problem they must solve by rewriting the words in to algebraic symbols. They investigate Sine and Cosine using word problems. There are 18 questions with an answer key.
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
Chapman University
A Pythagorean-Style Proof of the Sine Sum-of-Angles Formula
This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also...
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
Angle Sum and Difference
In this angle sum and difference worksheet, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
Curated OER
Trig Twisters
For this trig worksheet, students use the law of sines, cosine, and tangent to solve problems. They work with a partner to find the measurement of angles to the nearest degree and the product of sines. This two-page worksheet contains...
Curated OER
Evaluate Integrals
In this evaluating integrals activity, learners solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...