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Published byChristopher Barnett Modified over 2 years ago

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Notes # ____

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trigonometry trigonometry : the study of the properties of triangles trigonometric ratio trigonometric ratio : ratio of measures of two sides of a right triangle tangent tangent : in a right triangle, the ratio of the leg opposite the acute angle to the leg adjacent to the acute angle

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Definition A C B hypotenuse leg adjacent to A leg opposite A

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Ex 1 A C B Find tan A and tan B.

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Ex 2 P R Q Find tan P and tan Q.

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Tangents with Angle Measurements F D E m The tangent of an angle depends on the angle, not the size of the triangle. Find the measurement of DF. Ex 3

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R Q P m Find the measurement of QR. Ex 4

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Angles of Elevation and Depression Applications of trigonometry may include these angles Find the measurement of DF. angle of depression angle of elevation

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Find the height of the tree Ex 5 B C A 5 ft ft

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Find the angle of elevation. Ex 6 B C A 10 ft 48 ft arctangent is the same as inverse tangent

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Find the angle of depression. Ex 7 B C A 760 ft 5000 ft

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