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deg., 2.68 153.55rad rad π π × = → × ≈ Negative Angle Identites sin( ) sin, cos( ) cos, tan( ) tan, csc( ) csc, sec( ) sec, cot( ) cot. sin ,cos, tan ,csc ,sec ,coty x y r r x r r x y x y θ θ θ θ θ θ= Reciprocal Identities 1 1 1sin cos tan csc sec cot 1 1 1csc sec cot sin cos tan u u u u u u u u u u u u = Tangent and Cotangent Identities sin costan cot cos sin u uu u u u = Pythagorean Identities 2 2 2 2 2 2 sin cos 1, 1 tan sec, 1 cot csc u u u u u u + = + = + = Cofunction Identities sin cos, cos sin 2 2 csc sec, sec csc 2 2 tan cot, cot tan 2 2 u u u u u u u u u u u u π π π π π π − = − = − = − = − = − = Sum and Difference Formulas sin( ) sin cos cos sin cos( ) cos cos sin sin tan tantan( ) 1 tan tan u v u v u v u v u v u v u vu v u v ± = ± ± = ± ± = Double-Angle Formulas 2 2 2 2 2 2 tansin 2 2sin cos, tan 2 1 tan cos 2 cos sin 2cos 1 1 2sin uu u u u u u u u u u = − = − = − = − Power-Reducing Formulas 2 2 2 1 cos 2 1 cos 2sin, cos 2 2 1 cos 2tan 1 cos 2 u uu u uu u − + = − = + Half-angle Formulas 1 cos 1 cossin, cos 2 2 2 2 1 cos sin 1 costan 2 1 cos 1 cos sin u u u u u u u u u u u − + = ± = ± − − = ± = + + Arc Length s rθ= Law of Sines sin sinA B SinC a b c = Law of Cosines 2 2 2 2 cosc a b ab C= + − DeMoivre’s Theorem (cos sin )n nZ r n i nθ θ= + Parabola: 2 24, 4x ay y ax= Ellipse: 2 2 2 2 1 x y a b + = Hyperbola: 2 2 2 2 1 x y a b − = Deg. Cheat Sheet Definition of the Six Trigonometric Functions: Right triangle definitions, where 0 2 πθ.
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