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Worksheet
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\n\"Depression\n\n
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\nCurated OER\n
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\nDepression and Elevation Angles\n

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\n\nFor Students\n\n9th - 12th\n
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\nFor this angles worksheet, students utilize trigonometry to determine angles of elevation and depression. There are 7 questions and some contain pictures.\n
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Worksheet
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\n\"Right\n\n
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\nCurated OER\n
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\nRight Triangle Trigonometry\n

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\n\nFor Students\n\n12th\n
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\nIn this trig learning exercise, 12th graders identify the angles of a tight triangle using sine, cos and tan combined with the given sides. There are 23 problems broken down in 4 sections.\n
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Worksheet
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\n\"Trig\n\n
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\nCurated OER\n
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\nTrig Ratios of General Angles\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this trig ratios worksheet, students determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page worksheet contains 24 problems. Answers are provided on the last...\n
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Lesson Plan
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\n\"Special\n\n
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\nEngageNY\n
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\nSpecial Triangles and the Unit Circle\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nCalculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...\n
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Activity
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\n\"Marine\n\n
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\n101 Questions\n
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\nMarine Ramp\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nBoat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...\n
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Printables
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\n\"A\n\n
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\nChapman University\n
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\nA Pythagorean-Style Proof of the Sine Sum-of-Angles Formula\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nThis 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...\n
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Performance
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\n\"Developing\n\n
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\nRadford University\n
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\nDeveloping a Trigonometry Phone App\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWhat's one more app? After reviewing how to calculate missing side lengths or angle measures in a right triangle, pupils create instructions for a phone app to do all of the tedious work. They must consider all nine cases of known...\n
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Worksheet
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\n\"Applied\n\n
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\nCurated OER\n
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\nApplied Trigonometry Problems Day 2\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this geometry worksheet, students apply right triangle trigonometry to find missing distances or angles in real life examples involving angles of depression or elevation. The four page worksheet contains twelve problems. Answers are...\n
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Worksheet
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\n\"Similar\n\n
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\nCurated OER\n
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\nSimilar Right Triangles-Introductions to Trigonometry\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this geometry instructional activity, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of...\n
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Worksheet
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\n\"Trigonometry\n\n
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\nCurated OER\n
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\nTrigonometry Ratios in Right Triangles\n

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\n\nFor Students\n\n10th\n
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\nIn 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...\n
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\n\"Angles\n\n
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\nCurated OER\n
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\nAngles of Elevation and Depression\n

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\n\nFor Students\n\n10th\n
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\nIn this angles of elevation and depression worksheet, 10th graders solve 4 word problems that are related to determining the angles of elevation and depression. First, they define angle of elevation and angle of depression as used in the...\n
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Lesson Plan
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\n\"Regents\n\n
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\nNew York State Education Department\n
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\nRegents High School Examination: Algebra 2/Trigonometry 2010\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nIn this high school worksheet, students solve problems involving angles, functions, square roots, and sequences. They read word problems, write equations, and then solve them. This 28-page worksheet contains 39 problems. \n
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Worksheet
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\n\"Quiz:\n\n
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\nCurated OER\n
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\nQuiz: Angles in Circles - Angles Outside the Circle\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn this angles in circles activity, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page activity contains ten problems.\n
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Worksheet
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\n\"Exact\n\n
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\nCurated OER\n
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\nExact Trig Values of Special Angles\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this special angles worksheet, students find the value of given trigonometric functions.  This four-page worksheet contains 30 problems.  Answers are provided on the last two pages.\n
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Lesson Plan
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\n\"Algebra\n\n
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\nCurated OER\n
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\nAlgebra 2 & Trigonometry Practice: Law of Sines\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nFor this law of sines worksheet, students solve 9 multiple choice and short answer problems.  Students use the law of sines to missing side lengths and angles of triangles.\n
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Worksheet
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\n\"Section\n\n
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\nCurated OER\n
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\nSection 6.1-6.2 Precalculus: Trigonometry\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this trigonometry worksheet, students solve 15 triangle problems.  Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.\n
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Worksheet
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\n\"Multiple\n\n
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\nCurated OER\n
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\nMultiple Angle Formula\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this trigonometry worksheet, students apply the concept of multiple angle formula to solve problems dealing with trigonometric properties. There are 2 questions with an answer key.\n
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Lesson Plan
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\n\"Trigonometry\n\n
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\nCurated OER\n
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\nTrigonometry Ratios\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.\n
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Worksheet
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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 worksheet, 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 worksheet contains 32 problems. Answers are...\n
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Lesson Plan
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\n\"Basic\n\n
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\nCurated OER\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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Interactive
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\n\"Angle-Side-Angle\n\n
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\nAngle-Side-Angle Triangles: Caution Tape\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nDon't lose your marbles. Scholars use an interactive to create a triangle that closes off a portion of a sidewalk with loose marbles. The Law of Sines helps them find the side measures of such a triangle.\n
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Instructional Video9:17
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\nIntro to the Trigonometric Ratios\n

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\n\nFor Students\n\n11th - Higher Ed\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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Instructional Video9:22
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\n\"Proof:\n\n
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\nProof: cos(a+b)=(cos a)(cos b)-(sin a)(sin b)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUsing a similar method that he used to prove the sum of angles formula for sine, Sal shows the proof the cosine sum of angles formula, cos (a+ b) = cos (a) cos (b) - sin (a) sin (b). This proof also uses the SOH-CAH-TOA model and some...\n
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Interactive
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\n\"Unit\n\n
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\nCK-12 Foundation\n
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\nUnit Circle: Medieval Castle Defense\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nWho needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...\n
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