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Chapter 14: Introduction to Trigonometry14.1 Trigonometric RatiosVocabularyTrigonometry:Sine:Cosine:Tangent:ObjectivesIdentify and define thee trigonometric ratiosFind trigonometric ratios for specific right trianglesFind sides of triangles, given certain trigonometric ratiosParts of a triangle as seen through trigonometry:Find the sine, cosine, and tangent of angles A and B in this triangle:In a triangle, we know that sinA=45 . Find the other two trig ratios for that triangle.14.2 Special Right TrianglesVocabulary45-45-90 triangle30-60-90 triangleObjectives:Establish ratios for 45-45 and 30-60-90 trianglesFind missing sides or angles of specific 45-45 and 30-60-90 triangles 45-45-90 Triangles30-60-90 TrianglesFind the following ratios:tan45°sin60°cos45°sin30°Find the missing side lengths:Decide whether or not the following ratios make special right triangles:4:4:425:5:105:53:1014:28:14214.3 Solving Right TrianglesVocabularyInverse trig functionsObjectives:Find trigonometric ratios for angles using a calculatorFind missing sides and angles of right trianglesFinding a side using trig: Pick a trig ratio that works with the given picture, write the equation, and use algebra/calculator to solve for the missing value.Find the missing sides:Solve the following triangle:Finding an angle using trig: Pick a trig ratio that works with the given picture, write the equation, and use algebra/calculator to solve for the missing value. **you will need to use inverse trig on a graphing calculatorFind the missing angles:Solve the following triangle:14.5 Applications of TrigonometryVocabularyAngle of elevationAngle of depressionObjectivesApply trig ratios to solve right trianglesApply trig ratios to solve real world problemsA ramp is to be constructed with an angle of inclination of 15 degrees that must reach the top of a 4-foot-high truck dock. How long is the incline of the ramp?A ranger on a 260-foot-high lookout tower spots a forest fire at an angle of depression of 5 degrees. How far away from the base of the tower is the fire?Silver Cascade, Colorado, flows 200 ft along a slope inclined at 40 degrees. How long is the vertical drop?The Burj Khalifa in Dubai is the tallest manmade structure in the world. If you stand 300 feet away (1 football field), the angle in inclination to the top is still 83.7°. How tall is the Burj Khalifa? ................
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