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CM10 Chapter Two Learning Outcomes: Trigonometry 2.1 The Tangent Ratio o I can use similar triangles to develop the concept of the tangent ratio o I can use the tangent ratio to determine an acute angle in a right triangle when the lengths of the legs are given. 2.2 Using the Tangent Ratio to Calculate Lengths o I can determine the length of a leg of a right triangle when knowing an acute angle and measure of the other leg. 2.3 Measuring an Inaccessible Height o I can use a clinometer and tangent ratio to determine the height of an object. 2.4 The Sine and Cosine Ratios o I can use similar triangles to develop the sine and cosine ratios. o I can use the sine and cosine ratio to determine an acute angle in a right triangle when given the length of one leg and the hypotenuse. 2.5 Using the Sine and Cosine Ratios to Calculate Lengths o I can use the sine and cosine ratios to determine the length of a leg when given the measure of an acute angle and hypotenuse in a right triangle. o I can use the sine and cosine ratios to determine the length of the hypotenuse given the measure of an acute angle and length of a leg in a right triangle. 2.6 Applying Trigonometric Ratios o I can use the trigonometric ratios (sine, cosine, and tangent) to solve a right triangle when given two sides or an acute angle and a side. 2.7 Solving Problems Involving More than One Right Triangle o I understand angle of elevation. o I understand angle of depression. o I can use trigonometric ratios to solve problems that involve more then one right triangle.