Formula sheet for trigonometric identities, Cheat Sheet of Trigonometry

Download Formula sheet for trigonometric identities and more Cheat Sheet Trigonometry in PDF only on Docsity! Trigonometric Identities Definitions and Fundamental Identities: Circle: 2 2 2x y r+ = sin y r θ = cos x r θ = sin tan cos y x θ θ = = θ Pythagorean Relations 2 2cos sin 1θ + θ = 2 21 tan sec+ θ = θ 2 21 cot csc+ θ = θ Reciprocal Relations 1 csc sin θ = θ 1 sin csc θ = θ 1 1 1 csc sinx x − −  =     1 sec cos θ = θ 1 cos sec θ = θ 1 1 1 sec cosx x − −  =     1 cot tan θ = θ 1 tan cot θ = θ 1 1 1 cot tanx x − −  =     Odd Relations Even Relations sin( ) sin−θ = − θ tan( ) tan−θ = − θ cos( ) cos−θ = θ csc( ) csc−θ = − θ cot( ) cot−θ = − θ sec( ) sec−θ = θ Sum Relations Difference Relations sin( ) sin cos cos sinA B A B A B+ = + sin( ) sin cos cos sinA B A B A B− = − cos( ) cos cos sin sinA B A B A B+ = − cos( ) cos cos sin sinA B A B A B− = + tan tan tan( ) 1 tan tan A B A B A B + + = − tan tan tan( ) 1 tan tan A B A B A B − − = + Double Angle Relations Half Angle Relations s in2 2sin cosθ = θ θ 1 cos sin 2 2 θ − θ = ± 2 2 2 2 cos2 cos sin 2cos 1 1 2sin θ = θ − θ = θ − = − θ 1 cos cos 2 2 θ + θ = ± 2 2tan t a n 2 1 tan θ θ = − θ 1 cos tan 2 sin θ − θ = θ 2 1 c o s 2 sin 2 − θ θ = sin 1 cos θ = + θ 2 1 c o s 2 cos 2 + θ θ = 1 cos 1 cos − θ = ± + θ