trig_cheat_sheet

# trig_cheat_sheet - Definition of the Trig Functions Right...

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Definition of the Trig Functions Right triangle definition For this definition we assume that Unit circle definition opposite 1 \ hypotenuse \ \ adjacent opposite hypotenuse sin 8 = csc B = hypotenuse opposite adjacent hypotenuse cos e = sec B = hypotenuse adjacent opposite adjacent tan B = cot 6' = adjacent opposite For this definition B is any angle. Formulas and Identities Tangent and Cotangent Identities Half Angle Formulas sin B cos e cos e cote=- Reciprocal Identities 1 1 1 COS" = -(I + cos (28)) cscB=- sine=- 2 csc B , - -, 1 1 Double Angle Formulas sec8 = - COSB=- cos B sin (28) = 2 sin B cos B 1 cot8 =- 1 tane=- cos (28) = cos2 B - sin2 6 tan B cote Pythagorean Identities = 2c0s2 B-1 e + cos2 e = 1 = 1- 2sin2 e tan2 e+1=sec2 B product to Sum Formulas 1+ cot2 e = csc2 e 1 a sin = -[COS 2 (a - p) - cos + P)] EvenIOdd Formulas 1 (-8) = -sin 8 csc (-8) = - csc B COS~COS~=-[cos(a-~)+cos(a~~)] 2 cos = cos e sec (-0) = 1 sinacosp =-[sin(a +P)+sin(a-P)] tan(-8)=-tane cot(-e)=-cote 2 -- - - - ----- 1 ' cosasinp=7[sin(a+~)-sin(a-~)] L Inverse Trig ~uis~-- - Definition Inverse Properties y= sin-'

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trig_cheat_sheet - Definition of the Trig Functions Right...

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