Math 2412 Sections 5.3 and 5.4 Notes Spring 2017.pdf

Math 2412 Sections 5.3 and 5.4 Notes Spring 2017.pdf - 5.3...

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21 5.3 Evaluating Trigonometric Functions Right-Triangle-Based Definitions of Trig Functions For any acute angle θ in standard position, sin cos tan y opposite r hypotenuse x adjacent r hypotenuse y opposite x adjacent csc sec cot r hypotenuse y opposite r hypotenuse x adjacent x adjacent y opposite Cofunction Identities For any acute angle θ , sin cos(90 ) cos sin(90 ) o o sec csc(90 ) csc sec(90 ) o o tan cot(90 ) cot tan(90 ) o o Write each function in terms of its cofunction. Assume that all angles in which an unknown appears are acute angles. Example cot (73 o ) Solution cot (73 o ) = tan(90 o 73 o ) = tan (17 o ) tan 17 is the cofunction of cot 73 . That is, cot 73 tan 17 . #
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