EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
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.
NASA
Launch Altitude Tracker
Using PVC pipe and aquarium tubing, build an altitude tracker. Pupils then use the altitude tracker, along with a tangent table, to calculate the altitude of a launched rocket using the included data collection sheet.
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
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
Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Curated OER
Trig Card Game (Review of Trig Identities)
In this trig card game, students play a card game to form and identify trigonometric identities. Students collect cards to form identities. This one-page activity contains instructions for making cards and the rules of the...
Curated OER
Center of Mass, Tangent Line Error Bound
In this center of mass worksheet, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound. This one-page worksheet contains 5 problems.
Curated OER
Tangent
In this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
Curated OER
Senior Analysis: Review Functions and Tangents
In this function learning exercise, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page learning exercise contains 11 multi-step problems. Answers are provided on...
Curated OER
Three Tangent Circles
In this tangent circles worksheet, students use pi to solve a problem involving tangent circles. This one-page worksheet contains 1 problem. The answer is provided at the bottom of the page.
Curated OER
Tangents and Circles
In this tangents and circles learning exercise, 10th graders solve 10 different problems that include various tangents and circles. First, they determine in each diagram whether the segments shown are tangents or not. Then, students...
Curated OER
Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains...
Curated OER
Differential Equations
In this differential equations worksheet, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the...
Flipped Math
Intro to Trigonometry
Expand trigonometric ratios beyond right triangles. Pupils start with a review of trigonometric ratios and then take a look at angles in standard position to determine their measurements. Scholars discover how to find coterminal angles...
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...
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
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Curated OER
Pythagorean Identities
In this Pythagorean identities worksheet, 11th graders solve 10 different problems that include applying various Pythagorean identities in each. First, they determine the values of tangent, secant, cosecant, and cosine given the other...
Curated OER
Using a Calculator (Sine, Cosine, Tangent)
In this calculator worksheet, students 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
Tangent of a Point
In this tangent activity, students find the tangent of one point when given the length of the sides of a triangle. This one-page activity contains ten problems.
Curated OER
Pilots, Airplanes, and the Tangent of Three Degrees
Students explore how to use trigonometry in the aviation field. In this aviation instructional activity students complete trigonometry equations that show what planes should do to land their airplanes.
Curated OER
Trigonometric Functions
Here is a worksheet that includes three short trigonometry problems. Learners must use trigonometric definitions and identities to solve. Use this resource to review trigonometry, or as an assessment.
Curated OER
Curved Lines
In this curved lines worksheet, students examine equations that, when graphed, present a curved line. They explore specified points on the graphed line and write an equation for the tangent line at given points. This two-page worksheet...