FUNDAMENTAL TRIG IDENTITIES



TRIGONOMETRY FORMULAS

Sum and Difference Formulas

sin ( u + v ) = sin u cos v + cos u sin v

sin ( u – v ) = sin u cos v – cos u sin v

cos ( u + v ) = cos u cos v – sin u sin v

cos ( u – v ) = cos u cos v + sin u sin v

tan ( u + v ) = [pic] tan ( u – v ) = [pic]

Double Angle Formulas Half-angle Formulas

sin 2u = 2 sin u cos u [pic]

cos 2u = cos2 u – sin2 u [pic]

= 2cos2 u – 1

= 1 – 2sin2 u

tan 2u = [pic] [pic]

[pic]

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