# Solving trig functions activity

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Some activities or lessons, however, were developed to stand alone, and hence, they might not conform to this strict hierarchy. Related Curriculum shows how the document you are currently viewing fits into this hierarchy of curricular materials. How wide is a river? Sometimes engineers cannot directly measure an object's size or distance because it would take too much time, or it is physically impossible a tape measure to find the distance from the Earth to Pluto?

Instead of actually measuring a size or distance, engineers use trigonometry and other mathematical relationships to estimate it very accurately. Each TeachEngineering lesson or activity is correlated to one or more K science, technology, engineering or math STEM educational standards. In the ASN, standards are hierarchically structured: first by source; e. View aligned curriculum. Do you agree with this alignment?

Thanks for your feedback! Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. First they review fundamental geometrical and trigonometric concepts.

Then, they estimate the height of various objects by using simple trigonometry. Students learn that math is important in navigation and engineering. They use the Pythagorean Theorem to solve real-world problems. High school students learn how engineers mathematically design roller coaster paths using the approach that a curved path can be approximated by a sequence of many short inclines.

They apply basic calculus and the work-energy theorem for non-conservative forces to quantify the friction along a curve Is it possible to determine the width of a river without crossing it? Answer: It is possible to come very close to determining the width of a river of any size, using triangles. The same principle used to determine the width of a river can be applied to other situations, including determining the height of a hill, a tree or a building.

The simple geometric shape that makes this all possible is the triangle. During this activity, you will learn how to use triangles to determine the width of a river. Trigonometry is a branch of mathematics dealing with relationships between the angles and sides of triangles.

The three basic trigonometric relations that we are concerned with in this activity are: sine, cosine, and tangent abbreviated as sin, cos, and tan. They are the ratios of the lengths of two sides of a particular triangle.Explore the surplus collection of trigonometry worksheets that cover key skills in quadrants and angles, measuring angles in degrees and radians, conversion between degrees, minutes and radians, understanding the six trigonometric ratios, unit circles, frequently used trigonometric identities, evaluating, proving and verifying trigonometric expressions and the list go on Grasp and retain trigonometric concepts with ease employing these visually appealing charts for quadrants and angles, right triangle trigonometric ratio chart, trigonometric ratio tables, allied angles and unit circle charts to mention a few.

Identify the quadrant encompassing the terminal side of the angle with this set of quadrants and angles worksheets.

## Solving Trigonometric Equations

Draw the indicated angle on the coordinate plane, measure the angles in the quadrant and represent as degrees and radians and a lot more. Introduce the two ways to measure an angle, namely degrees and radians with this set of worksheets.

Adequate worksheets are provided to assist in practicing prompt conversions of degrees to radians and vice-versa. To specifically and accurately measure the size of an angle in degrees, it is further broken down into degrees, minutes and seconds.

This worksheet stack consists of ample exercises to practice conversion between degrees, minutes and seconds. Determine the reference angles in degrees and radians, find the coterminal angles for the indicated angles, and positive and negative coterminal angles with this assemblage of reference and coterminal angles worksheets.

Trigonometric Ratios Right Triangle Trigonometry. Kick start your learning with these trig ratio worksheets. Identify the legs, side and angles, introduce the six trigonometric ratios both primary trig ratios and reciprocal trig ratios and much more with these trigonometric ratio worksheets. Included here are fundamental identities like quotient, reciprocal, cofunction and Pythagorean identities, sum and difference identities, sum-to-product, product-to-sum, double angle and half angle identities and ample trig expression to be simplified, proved and verified using the trigonometric formulas.

Packed in these unit circle worksheets are exercises to find the coordinates of a point on the unit circle, determine the corresponding angle measure, use the unit circle to find the six trigonometric ratios and a lot more.

Allied angle worksheets here enclose exercises like finding the exact value of the trigonometric ratio offering angle measures in degrees or radians, evaluating trig ratios of allied angles and proving the trigonometric statements to mention just a few. Evaluating Trigonometric Expressions. These worksheets outline the concept of evaluating trigonometric expressions involving primary, reciprocal and fundamental trigonometric ratios, evaluating expressions using a calculator, evaluate using allied angles and more!

### Trigonometry Worksheets

Evaluating Trigonometric Functions Worksheets. With this set of evaluating trigonometric functions worksheets at your disposal, you have no dearth of practice exercises. Begin with substituting the specified x-values in trigonometric functions and solve for f x.

Inverse Trigonometric Function Worksheets. Utilize this adequate supply of inverse trigonometric ratio worksheets to find the exact value of inverse trig ratios using charts and calculators, find the measure of angles, solve the equations, learn to evaluate inverse and the composition of trigonometric functions and a lot more.Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.

Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? All Categories. Grade Level. Resource Type. Log In Join Us. View Wish List View Cart. You Selected: Subjects Math Trigonometry. Prices Free. Types Activities. Grades PreK. Other Not Grade Specific. Higher Education. Adult Education. Digital Resources for Students Google Apps. Internet Activities. Subjects Math Trigonometry.

Resource Types Activities. Misty Miller. Hunka Learnin' Love. Desktop Learning Adventures. Sort by: Rating. Unit Circle Paper Plate Activity. This free guide will assist teachers in teaching the unit circle without memorization. By doing this activity, students will have a deep understanding of how degrees, coordinates, special right triangles, and the circumference of a circle all relate to form the unit circle.

It includes a detailed les. GeometryTrigonometryAlgebra 2. Wish List. This set of 20 rounding task cards is perfect for practicing rounding to the nearest ten, hundred, and thousand. There is also estimation word problems and estimation using traditional algorithm. Student answer sheet is included. Please leave positive feedback for my hard work, a. Basic OperationsTrigonometryPlace Value. ActivitiesPrintablesTask Cards. Trigonometric Functions Maze Activity Freebie.

There are two versions; one is in degrees and the other is in radians. Students color each trig function and its corresponding value in a separate color. A key is included. You could make it a. TrigonometryMathematicsAlgebra 2.Starter includes questions to recap and consolidate previous learning in accordance with the route map scheme of work i have uploaded.

Lesson finished with an interactive plenary where students need to evaluate trigonometric values. Thank you. BPS a year ago 5. Activities to give learners of secondary mathematics practice in recognising translations, stretches and reflections of trigonometrical graphs from their equations. TES Resource Team 2 years ago 5. Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection. Another excellent Standards Unit resource. It features activities and discussion prompts for transforming trigonometric graphs. Three worksheets about trigonometric functions and simple transformations. Nice set of 3 graphs for students to plot and understand the transformation.

Solving Trigonometric Equations Using Identities, Multiple Angles, By Factoring, General Solution

Thank you for sharing. Calculating exact values of sin, cos and tan using equilateral and isosceles triangle then going on to plotting graphs. Structured worksheet with answers. Ohana 2 months ago 5. Gimbletron a year ago 5. Cqmonaghan 2 years ago 5. Reza-Z 2 years ago 5. A short 'learn by doing' worksheet.Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.

### Puzzle - Solving Variety of Trig Equations

Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? All Categories. Grade Level. Resource Type. Log In Join Us. View Wish List View Cart. Results for trig functions activity Sort by: Relevance. You Selected: Keyword trig functions activity. Grades PreK.

Other Not Grade Specific. Higher Education. Adult Education. Digital Resources for Students Google Apps. Internet Activities. English Language Arts. Foreign Language.

Social Studies - History. History World History. For All Subject Areas. See All Resource Types. This file is a bundled set of content quizzes, mid-unit quizzes, reviews, seven activities, and two unit tests. The file includes C. PreCalculusTrigonometryMathematics. ActivitiesTest PrepAssessment. Show 8 included products. Add to cart. Wish List. This puzzle activity is a fun way for students to practice their understanding and interpretation of Sine and Cosine graphs.I selected this problem so that we can review again how to either factor a trig equation or apply the quadratic formula.

I ask that if students get stuck, they text me their last step. Up to this point, my students have been successful in applying the quadratic formula to a quadratic trig equation. However, they were confused about how to interpret their solutions. After students complete the warm-up, I will model both methods.

First, how to factor this polynomial to get solutions. The results in this problem present a good opportunity to also discuss why this equation would not produce any solutions.

I like the idea of a puzzle instead of just a worksheet because it builds in an opportunity for review and self-assessment. Do the pieces go together and all match? Then they are right! I think that the visual nature of the puzzle helps kids to recognize patterns and reason about mistakes by considering alternatives.

Assign Trig Equations Homework 8. Empty Layer. Home Professional Learning. Professional Learning. Learn more about. Sign Up Log In. SWBAT solve various trigonometric equations. Big Idea Students literally and figuratively put the pieces together by solving a variety of trig equations! Lesson Author. Grade Level. Precalculus and Calculus. C Prove and apply trigonometric identities. MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively.

Warm-Up 5 minutes. Putting the Pieces Together 40 minutes. Trig Puzzle, post lesson reflection, modeling. Closure 10 minutes. Previous Lesson. Next Lesson. Related Lessons. Generalizing the Sine Function. Playing with the Numbers. Twelfth grade. Quadratic Equations.Here is a graphic preview for all of the Trigonometry Worksheets. You can select different variables to customize these Trigonometry Worksheets for your needs. The Trigonometry Worksheets are randomly created and will never repeat so you have an endless supply of quality Trigonometry Worksheets to use in the classroom or at home.

Our Trigonometry Worksheets are free to download, easy to use, and very flexible. These Trigonometry Worksheets are a great resource for children in 5th, 6th Grade, 7th Grade, and 8th Grade.

Click here for a Detailed Description of all the Trigonometry Worksheets. Trigonometric Ratios Worksheets This Trigonometry Worksheet will produce trigonometric ratio problems.

This worksheet is a great resource for the 5th Grade, 6th Grade, 7th Grade, and 8th Grade. Inverse Trigonometric Ratios Worksheets This Trigonometry Worksheet will produce inverse trigonometric ratio problems.

You may select the number of sides given for the problems. Trigonometric Ratios Trigonometry Worksheets. Inverse Trigonometric Ratios Trigonometry Worksheets.