Sin t 2s n sin t csc t 2s n csc t cos t 2s n cos t sec

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Unformatted text preview: T csc T  2S n csc T cos T  2S n cos T sec T  2S n sec T tan T  S n tan T cot T  S n cot T Double Angle Formulas sin 2T 2sin T cos T cos 2T cos 2 T  sin 2 T 2 cos 2 T  1 1  2sin T 2 tan T 1  tan 2 T 2 tan 2T Degrees to Radians Formulas If x is an angle in degrees and t is an angle in radians then S t Sx 180t Ÿt and x 180 x 180 S Half Angle Formulas 1 sin 2 T 1  cos 2T 2 1 cos 2 T 1  cos 2T 2 1  cos 2T tan 2 T 1  cos 2T Sum and Difference Formulas sin D r E sin D cos E r cos D sin E cos D r E cos D cos E B sin D sin E tan D r tan E 1 B tan D tan E Product to Sum Formulas 1 sin D sin E ªcos D  E  cos D  E º ¼ 2¬ 1 cos D cos E ªcos D  E  cos D  E º ¼ 2¬ 1 sin D cos E ªsin D  E  sin D  E º ¼ 2¬ 1 cos D sin E ªsin D  E  sin D  E º ¼ 2¬ Sum to Product Formulas §D  E · §D  E · sin D  sin E 2sin ¨ ¸ cos ¨ ¸ ©2¹ ©2¹ §D  E · §D  E · sin D  sin E 2 cos ¨ ¸ sin ¨ ¸ ©2¹ ©2¹ §D  E · §D  E · cos D  cos E 2 cos ¨ ¸ cos ¨ ¸ ©2¹ ©2¹ tan D r E §D  E · §D  E · 2sin ¨ ¸ sin ¨ ¸ ©2¹ ©2¹ Cofunction Formulas cos D  cos E §S · sin ¨  T ¸ cos T ©2 ¹ §S · csc ¨  T ¸ sec T ©2 ¹ §S · cos ¨  T ¸ sin T ©2 ¹ §S · sec ¨  T ¸ csc T ©2 ¹ §S · tan ¨  T ¸ cot T 2 © ¹ §S · cot ¨  T ¸ 2 © ¹ tan T © 2005 Paul Dawkins Unit Circle y S § 1 3· ¨ , ¸ © 2 2¹ § 2 2· , ¨ ¸ 2 2¹ © § 3 1· ¨ , ¸ © 2 2¹ 3S 4 5S 6 0,1 2 2S 3 §1...
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