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Unit Circle and Trig Identities1454152710200Reciprocal Identities1. sinx=1cscx 2. cosx=1 secx 3. tanx=1cotx4. cscx=1sinx 5. secx=1cosx 6. cotx=1tanxQuotient Identities1. tanx=sinxcosx 2. cotx=cosxsinxEven/Odd Identities1. sin-?=-sin? 2. csc-?=-csc?3. cos-?=cos? 4. sec-?=sec?5. tan-?=-tan? 6. cot-?=-cot?Pythagorean Identities1. cos2x+sin2x=12. cos2x=1-sin2x3. sin2x=1-cos2x4. 1+tan2x=sec2x5. tan2x=sec2x-16. 1=sec2x-tan2x7. cot2x+1=csc2x8. cot2x=csc2x-19. 1=csc2x-cot2xSum/Difference Formulas1. cosα+β=cosα?cosβ-sinα?sinβ2. cosα-β=cosα?cosβ+sinα?sinβ3. sinα+β=sinα?cosβ+cosα?sinβ4. sinα-β=sinα?cosβ-cosα?sinβ5. tanα+β=tanα+tanβ1-tanα?tanβ6. tanα-β=tanα-tanβ1+tanα?tanβDouble Angle Formulas1. sin2?=2sin??cos?2. cos2?=cos2?-sin2? →cos2?=2cos2?-1 →cos2?=1-2sin2?3. tan2?=2tan?1-tan2?Half-Angle Formulas1. sinα2=±1-cosα22. cosα2=±1+cosα23. a) tanα2=±1-cosα1+cosα b) tanα2=1-cosαsinα c) tanα2=sinα1+cosα ................
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