Teacher Outline: 6.1 Right Triangle Trigonometry
Suggested Pacing2 day Traditional1 day BlockWarm Up ProblemsGiven the right triangle below, find the missing side.19.01 Given the triangle below, find the missing angle.41° Using the triangle below find the missing sides and angle.28°, 19.62Learning ObjectivesSuggested Content Objective: The student will be able to convert back and forth between degree and degree minutes seconds, evaluate trigonometric ratios from any angle in a right triangle by hand and by use of a graphing calculator.Suggested Approach: Students will get a basic understanding of the content objectives using think-pair-share, and teacher led ic OutlineConverting Between Degrees and DMS (Degree Minutes Seconds)Examples include:Write 35°15'25" in decimal form35.2575° Write 31°24'45" in decimal form31.4125° Write 48.3625° in DMS form48°21'45" Write 42.5025° in DMS form42°30'9" Evaluating Six Trigonometric RatiosExamples include:Given the Triangle below find the six trigonometric ratios for ?.sinθ=513 cosθ=1213 tanθ=512 cscθ=135 secθ=1312 cotθ=125 Given the Triangle below find the six trigonometric ratios for ?.sinθ=1.63.4 cosθ=33.4 tanθ=1.63 cscθ=3.41.6 secθ=3.43 cotθ=31.6 Evaluating Six Trigonometric Ratios on a CalculatorExamples include:Evaluate all six trigonometric ratios of 20°.sin20°=0.3420 cos20°=0.9397 tan20°=0.3640 csc20°=2.9235 sec20°=1.0642 cot20°=2.7475 Evaluate all six trigonometric ratios of 15°.sin15°=0.2588 cos15°=0.9659 tan15°=0.2679 csc15°=3.8637 sec15°=1.0353 cot15°=3.7321 Evaluating Trigonometric Ratios of Special AnglesExamples include:Evaluate all 6 trig ratios for 30°, 60°, and 45°.Application ProblemsAngles of Elevation and DepressionExamples Include:Sighting the top of a building a surveyor measured the angle of elevation to be 22o. The transit is 5 feet above the ground and 300 feet from the building. Find the building’s height. a≈121 h≈5+121≈126 A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of elevation of the sun to the nearest degree.tan-1θ=2125; θ≈40° ................
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