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\n\"Further\n\n
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\nCurated OER\n
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\nFurther Trigonometry\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this trigonometry learning exercise, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...\n
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\n\"AP\n\n
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\nCurated OER\n
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\nAP Calculus\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.\n
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\n\"Seeing\n\n
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\nNational Council of Teachers of Mathematics\n
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\nSeeing Music, Hearing Waves\n

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\n\nFor Students\n\n11th\n
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\nFor this music activity, 11th graders incorporate fractions into their music scales and counting scales. They listen to the music being played and relate it to sine waves reviewing the trig function. There are 11 questions involving sine...\n
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\n\"Special\n\n
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\nCurated OER\n
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\nSpecial Right Triangles\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this special right triangles activity, students solve 15 short answer problems. Students use trigonometric functions to find missing side lengths of various right triangles.\n
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Interactive
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\n\"Inverse\n\n
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\nCurated OER\n
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\nInverse Trig Functions: Chain Rule\n

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\n\nFor Students\n\n9th - Higher Ed\n
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\nIn this trigonometric functions worksheet, learners differentiate inverse trigonometric functions using the chain rule. There are 15 questions.\n
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Worksheet
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\n\"Senior\n\n
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\nCurated OER\n
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\nSenior Analysis\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this senior analysis learning exercise, students solve and complete 10 various types of problems. First, they graph each function completely. Then, students label the axes and show a table for each. They also determine if the graph is...\n
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Lesson Plan
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\n\"Unit\n\n
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\nCurated OER\n
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\nUnit Circle\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nStudents investigate the different properties of a unit circle. In this geometry lesson plan, students identify the six different values of trigonometric functions. They solve trigonometric equations using values derived from the unit...\n
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Lesson Plan
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\n\"Right\n\n
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\nCurated OER\n
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\nRight Triangles and Unit Circles\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nYoung scholars evaluate the six trigonometric values of a trig function. In this trigonometry instructional activity, students use the Unit Circle to find the values of right triangles and their angles. They identify an angle...\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 12 - Spring 1996\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.\n
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Lesson Plan
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\n\"Approaching\n\n
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\nCurated OER\n
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\nApproaching Limits\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nWith the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...\n
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Instructional Video5:02
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\n\"Exact\n\n
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\nCorbett Maths\n
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\nExact Trigonometric Values\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nIt's important to be exact. Scholars watch a video that provides the exact trigonometric values of sine, cosine, and tangent for 0-, 30-, 45-, 60-, and 90-degree angles. The video also highlights a pattern to help remember the values. \n
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Instructional Video5:13
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\n\"Absolute\n\n
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\nAbsolute Maximum and Minimum Values of a Function\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nViewers explore the meaning of absolute maximum and minimum values for a trigonometric function within a given interval with a video that shows how to determine the critical values within the interval.The instructor then explains how to...\n
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Instructional Video4:15
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\n\"Sine\n\n
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\nCorbett Maths\n
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\nSine Graph: y=sin(x)\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nThe graph of the sine goes up and down, up and down, up and down! An informative video describes the process of graphing the sine function. It shows how to set up a table of values and then presents the finished graph. \n
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Instructional Video2:08
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\n\"Cosine\n\n
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\nCorbett Maths\n
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\nCosine Graph\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nConsign yourself to graphing cosine. Pupils graph the cosine function by first creating a table of values. They see the completed graph, consider the sinusoidal nature of the graph, and identify key features. \n
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Instructional Video5:14
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\n\"Tangent\n\n
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\nCorbett Maths\n
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\nTangent Graph\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nStay on course to learn about tangents. A brief video describes how to graph the tangent function. The method shown here is to make a table of tangent values to graph on the coordinate plane. \n
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AP Test Prep
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\n\"Frozen\n\n
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\nCollege Board\n
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\nFrozen in Time\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nTake a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...\n
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Worksheet
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\n\"Trigonometric\n\n
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\nCurated OER\n
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\nTrigonometric Functions\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this Calculus worksheet, students solve multiple detailed problems for four different Math concepts. They apply the concepts of Trigonometric ratios.\n
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Worksheet
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\n\"Range\n\n
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\nCurated OER\n
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\nRange of Trigonometric Functions\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this trigonometry worksheet, students find the range of each trigonometric function using the derivative. There are 3 questions with an answer key.\n
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Instructional Video2:57
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\n\"Trigonometry\n\n
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\nCK-12 Foundation\n
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\nTrigonometry Word Problems: Lesson\n

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\n\nFor Students\n\n9th - 11th\n\nStandards\n
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\nLook up or down to find the answer.  A segment of an extensive playlist on geometry introduces angle of depression and elevation to find indirect measurements. Using trigonometric ratios, the presentation finds missing sides and...\n
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Instructional Video4:20
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\n\"Music\n\n
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\nTED-Ed\n
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\nMusic and Math: The Genius of Beethoven\n

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\n\nFor Students\n\n7th - 12th\n\nStandards\n
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\nMath will resonate with your young artists and musicians when they learn that a mathematical formula describes a musical sound that is pleasing to our ears. Beethoven uses the certainty of mathematics to convey emotion and...\n
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Interactive
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\n\"Vertical\n\n
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\nCK-12 Foundation\n
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\nVertical Translations: Translating a Square Root Function\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nHow does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...\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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Worksheet
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\n\"Trigonometric\n\n
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\nCurated OER\n
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\nTrigonometric Equations\n

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\n\nFor Students\n\n11th\n
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\nIn this trigonometric equations worksheet, 11th graders solve 10 different problems that include trigonometric functions. First, they order the equation in terms of one equation and one angle. Then, students write the equation as one...\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 Derivatives of Twenty Trig Functions\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this derivatives worksheet, students take the derivative of fifty various trigonometric functions.  These fifty problems vary in difficulty.\n
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