Transcription of Trig Cheat Sheet - Lamar University
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trig Cheat Sheet Definition of the trig Functions Right triangle definition For this definition we assume that Unit circle definition p For this definition q is any angle. 0 < q < or 0 < q < 90 . 2 y ( x, y ). hypotenuse 1. y q opposite x x q adjacent opposite hypotenuse y 1. sin q = csc q = sin q = =y csc q =. hypotenuse opposite 1 y adjacent hypotenuse x 1. cos q = sec q = cos q = = x sec q =. hypotenuse adjacent 1 x opposite adjacent y x tan q = cot q = tan q = cot q =. adjacent opposite x y Facts and Properties Domain The domain is all the values of q that Period can be plugged into the function. The period of a function is the number, T, such that f (q + T ) = f (q ).
Double Angle Formulas ( ) ( ) ( ) 22 2 2 2 sin22sincos cos2cossin 2cos1 12sin 2tan tan2 1tan qqq qqq q q q q q = =-=-=-=-Degrees to Radians Formulas If x is an angle in degrees and t is an angle in radians then 180 and 180180 txt tx x pp p =Þ== Half Angle Formulas (alternate form) (( )) (( )) ( ) ( ) 2 2 2 1cos1 sinsin1cos2 222 1cos1 ...
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