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\n\"6.5\n\n
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\nCurated OER\n
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\n6.5 Skill Builder: Trigonometric Identities\n

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\nIn this trigonometric identities worksheet, students solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. Students factor trigonometric expressions.\n
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\n\"Section\n\n
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\nSection 8-6: Solving Problems Using Trigonometric Ratios\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this trigonometric ratios instructional activity, students solve 20 short answer and multiple choice problems.  Students use trigonometric ratios, the angle of depression, and angle of elevation to find missing side lengths of...\n
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\n\"Right\n\n
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\nCurated OER\n
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\nRight Triangle Trigonometry: Evaluating Trigonometric Ratios\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this right triangle trigonometry learning exercise, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page learning exercise contains 32...\n
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\n\"Evaluating\n\n
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\nEvaluating Trig equations and Solving Trig Identities\n

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\n\nFor Students\n\n9th - Higher Ed\n
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\nIn this trigonometry worksheet, students match trig expressions to their exact value, evaluate trig equations, graph trig equations, and prove trig identities. There are 61 questions.\n
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\n\"Trigonometric\n\n
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\nCurated OER\n
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\nTrigonometric Function\n

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\n\nFor Students\n\n10th\n
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\nIn this trigonometric function worksheet, 10th graders solve and complete 26 various types of problems. First, they use a calculator to find each value and each angle. Then, students state which trig function they used to find each given...\n
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\n\"Trig\n\n
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\nCurated OER\n
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\nTrig Functions\n

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\n\nFor Students\n\n11th - 12th\n
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\nFor this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...\n
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\n\"Basic\n\n
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\nBasic Trigonometric Identities from Graphs\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nHave young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...\n
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\n\"Basic\n\n
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\nBasic Trigonometric Ratios\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nIn this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...\n
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Instructional Video9:27
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\n\"Proof\n\n
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\nProof of the Law of Cosines, Trig Identities and Examples, Trigonometry\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal derives the Law of Cosines using a method similar to the wayward ship captain word problem he solves in another video. This video provides a good review of using the SOH-CAH-TOA model, the Pythagorean Theorem, some basic trig...\n
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\n\"Proof\n\n
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\nProof of Identity\n

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\nStudents explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the...\n
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\n\"Does\n\n
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\nDoes Your Field Measure Up\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents measure angles using a plane table kit. In this geometry activity, students use trigonometric identities to find the values of the length of a football field.\n
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\nReview Quiz before Mini-Exam\n

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\nIn this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...\n
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Instructional Video5:39
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\n\"Chain\n\n
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\nChain Rule for Derivatives, with Trig Functions\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nBreak the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...\n
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Instructional Video9:57
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\n\"Trig\n\n
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\nTrig Identities Part 2 (Part 4 If You Watch the Proofs)\n

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\nIn this video, Sal reviews the basic trigonometric definitions and identities, including the sum of angle formulas, and then derives the double angle formulas.\n
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Instructional Video9:17
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\nIntro to the Trigonometric Ratios\n

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\nThis video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...\n
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\n\"I Saw the Sine\"\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nDiscover 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.\n
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Instructional Video20:40
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\n\"Modeling\n\n
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\nModeling with Trig Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nFind out what to do with Ferris wheels that keep going up and down. Individuals learn how to determine the frequency of a trigonometric function. Pupils use their knowledge of trigonometric functions to model periodic motions like Ferris...\n
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Interactive
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\n\"Connect\n\n
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\nConnect The Dots Trig. Identities\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn this trig. identities worksheet, students connect the dots to equivalent values.  Then students find the isosceles right triangle formed.  Solutions are provided.\n
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\n\"Finding\n\n
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\nFinding Trigonometric Ratios\n

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\n\nFor Students\n\n11th\n
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\nIn 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...\n
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Worksheet
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\n\"Trigonometric\n\n
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\nTrigonometric Identities\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this trigonometry worksheet, students derive the 6 different trigonometric identities. They use the identities to solve problems by multiplication of trig ratios. There are 102 trig questions to be solved.\n
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\n\"Trigonometric\n\n
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\nTrigonometric Ratios\n

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\n\nFor Students\n\n10th\n
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\nIn this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...\n
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Assessment
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\n\"Trigonometric\n\n
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\nTrigonometric Ratios and the Pythagorean Theorem\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTake an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...\n
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Instructional Video20:08
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\nTrig Ratios\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTake 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...\n
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Instructional Video4:37
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\nTrigonometric Integrals\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nPresent examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...\n
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