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Trig identities

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Transcript

  • 1. cotx= (quotient identity)
  • 2. Answer
  • 3. tan(x/2)= (half angle identity)
  • 4. Answer
  • 5. tan(x+y)= (sum identity)
  • 6. Answer
  • 7. sin(x+y)= (sum identity)
  • 8. =sinxcosy+sinycosx Answer
  • 9. cos(2x)= (double angle identity)
  • 10. =cos 2 x-sin 2 x (main-others are found using Pythagorean Identities) =2cos 2 x-1 =1-2sin 2 x Answer
  • 11. sin(x/2)= (half angle identity)
  • 12. Answer
  • 13. sinx= (reciprocal identity)
  • 14. Answer
  • 15. cot 2 x= (Pythagorean identity)
  • 16. =csc 2 x-1 Answer
  • 17. tanx= (reciprocal identity)
  • 18. Answer
  • 19. cos(x+y)= (sum identity)
  • 20. =cosxcosy-sinxsiny Answer
  • 21. sin(x-y)= (difference identity)
  • 22. =sinxcosy-sinycosx Answer
  • 23. sin 2 x= (Pythagorean identity)
  • 24. =1-cos 2 x Answer
  • 25. cos(x/2)= (half angle identity)
  • 26. Answer
  • 27. tanx= (quotient identity)
  • 28. Answer
  • 29. tan 2 x+1= (Pythagorean identity)
  • 30. =sec 2 x Answer
  • 31. tan(2a)= (double angle identity)
  • 32. Answer
  • 33. cos(x-y)= (difference identity)
  • 34. =cosxcosy+sinxsiny Answer
  • 35. sin(2x)= (double angle identity)
  • 36. =2sinxcosx Answer
  • 37. tan(x-y)= (difference identity)
  • 38. Answer
  • 39. cosx= (reciprocal identity)
  • 40. Answer

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