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Instructional Video10:36
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\n\"Inverse\n\n
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\nFlipped Math\n
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\nInverse Trig Ratios\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nPut trigonometric ratios into inverse. Scholars learn how to find an unknown angle in a right triangle by using inverse trigonometric ratios. The pupils understand how the inverses undo a trigonometric ratio to provide the angle measure....\n
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Instructional Video20:08
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\n\"Trig\n\n
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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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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 instructional activity, students determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page instructional activity contains 24 problems....\n
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Instructional Video3:21
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\nHow Do You Find the Cosine of an Angle in a Right Triangle?\n

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\n\nFor Teachers\n\n7th - 11th\n
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\nWhat's a trigonometric ratio? It is a ratio between two sides of a right triangle. In this problem, find cosine(A) in the given right triangle. Use the ratio of the adjacent side divided by the hypotenuse to find cos(A). The instructor...\n
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Instructional Video3:13
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\nHow Do You Find the Tangent of an Angle in a Right Triangle?\n

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\n\nFor Teachers\n\n6th - 11th\n
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\nWhat's a trigonometric ratio? It is a ratio between two sides of a right triangle. In this problem, find tangent(A) in the given right triangle. Use the ratio of the opposite side divided by the adjacent side to find tan(A). The...\n
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Instructional Video4:29
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\nHow Do You Find a Missing Side of a Right Triangle Using Sine?\n

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\n\nFor Teachers\n\n6th - 11th\n
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\nWhat's a trigonometric ratio? It is a ratio between two sides of a right triangle. In this problem, find sin(A) in the given right triangle. Use the ratio of the opposite side divided by the hypotenuse to find sin(A). The instructor...\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, young scholars 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...\n
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Instructional Video3:57
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\n\"Exact\n\n
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\nExact Trig Values - Easy Table\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nHaving trouble remembering the trig ratios of common angles? This resource may be the solution! Using a table, the video instructor describes a memorable pattern. Scholars have an opportunity to practice the pattern during the video.\n
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Instructional Video3:22
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\n\"SOHCAHTOA\n\n
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\nSOHCAHTOA - Finding Missing Angles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nApply the trig ratios to find unknown angle measures. Learners review the side and angle relationships in right triangles and then apply the ratios to find the angle measures. The video shows several worked-out examples applying all...\n
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Worksheet
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\n\"Finding\n\n
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\nCurated OER\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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\n\"How\n\n
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\nHow are Trig Ratios Used to Measure Triangle Sides\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nLearners identify the ratios of trig identities. In this geometry instructional activity, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.\n
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Instructional Video2:47
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\n\"How\n\n
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\nHow Do You Find the Sine of an Angle in a Right Triangle?\n

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\n\nFor Teachers\n\n7th - 11th\n
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\nA trigonometric ratio is a ratio between two sides of a right triangle. In this problem, find sin(A) in the given right triangle. Use the ratio of the opposite side over the hypotenuse.\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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\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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Worksheet
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\nReview of Trig Ratios\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this trigonometric ratios learning exercise, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the...\n
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Worksheet
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\n\"Mnemonics\n\n
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\nMnemonics to Remember Your Trig Ratios\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this calculus activity, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.\n
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Lesson Plan
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\n\"Trigonometry\n\n
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\nEngageNY\n
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\nTrigonometry and the Pythagorean Theorem\n

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\n\nFor Students\n\n9th - 11th\n\nStandards\n
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\nAncient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...\n
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Interactive
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\n\"Reciprocal\n\n
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\nCK-12 Foundation\n
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\nReciprocal Identities\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nGet a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...\n
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Instructional Video4:38
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\n\"SOHCAHTOA\n\n
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\nSOHCAHTOA - Finding Missing Sides Part 1\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nExplore the meaning and application of the three trigonometric ratios. A thorough video reviews the trig ratios and then shows how to apply them in triangle problems. The instructor demonstrates several examples finding both side and...\n
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Interactive
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\n\"Double\n\n
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\nCK-12 Foundation\n
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\nDouble Angle Identities: Ferris Wheel\n

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\n\nFor Students\n\n10th - 12th\n
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\nUse a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....\n
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Instructional Video17:34
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\n\"Derivative\n\n
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\nDerivative Formulas Through Geometry | Essence of Calculus, Chapter 3\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nGeometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.\n
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Instructional Video2:35
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\nSOHCAHTOA - Finding Missing Sides Part 2\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nExplore some right triangle trigonometry with a straightforward video lesson. The instructor presents problems requiring scholars to use trig ratios to find unknown side measures. She provides worked-out solutions for those needing...\n
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Worksheet
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\n\"Sine,\n\n
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\nCurated OER\n
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\nSine, Cosine, and Tangent Ratios\n

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\nIn this ratios worksheet, 11th graders solve and complete 8 various types of problems. First, they read each problems and draw a sketch for each. Then, students write a trigonometric ratio for each problem and round any decimal answers...\n
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Lesson Plan
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\n\"Trigonometry\n\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. For 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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Instructional Video5:12
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\nHow Do You Solve a Problem Using an Angle of Elevation?\n

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\nIn this problem you are given an angle of elevation and one side of a right triangle to find a missing side. Watch the instructor explain how to use the tangent ratio formula to solve this problem.\n
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