Trig_Cheat_Sheet

# Trig_Cheat_Sheet - Trig Cheat Sheet Definition of the Trig...

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© 2005 Paul Dawkins Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p q << or 0 90 & <<& . opposite sin hypotenuse = hypotenuse csc opposite = adjacent cos hypotenuse = hypotenuse sec adjacent = opposite tan adjacent = adjacent cot opposite = Unit circle definition For this definition is any angle. sin 1 y y == 1 csc y = cos 1 x x 1 sec x = tan y x = cot x y = Facts and Properties Domain The domain is all the values of that can be plugged into the function. sin , can be any angle cos , can be any angle tan , 1 , 0 , 1 , 2, 2 nn qp ±² + = –– ³´ Ll K csc , , 0 , 1 , =–– K sec , 1 , 0 , 1 , 2 + K cot , , 0 , 1 , K Range The range is all possible values to get out of the function. 1 si n1 - ££ cs c 1 andcs c1 qq £- 1 co s1 - se c 1 andse tan < cot < Period The period of a function is the number, T , such that ( ) ( ) f Tf += . So, if w is a fixed number and is any angle we have the following periods. ( ) sin wq 2 T = ( ) cos 2 T = ( ) tan T = ( ) csc 2 T = ( ) sec 2 T = ( ) cot T = adjacent opposite hypotenuse x y ( ) , xy x y 1

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© 2005 Paul Dawkins
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Trig_Cheat_Sheet - Trig Cheat Sheet Definition of the Trig...

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