Pre-Calculus/Trig 3



Pre-Calculus/Trig 3 Name __________________________________

Verifying Trigonometric Identities

Guidelines For Verifying Trigonometric Identities

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Examples:

1. [pic] 2. [pic]

3. [pic] 4. [pic]

Trigonometric Identities Practice

Verify the following trigonometric identities.

|1. cos3[pic] + sin2[pic]cos[pic] = cos[pic] |31. csc[pic]cos2[pic] + sin[pic] = csc[pic] |

|2. csc2[pic] - cos2[pic]csc2[pic]= 1 |32. [pic] |

|3. sec[pic]sin[pic] = tan[pic] |33. sin[pic][pic] = cos2[pic] +1 |

|4. [pic] |34. [pic] |

|5. [pic] |35. csc[pic] - sin[pic] = cot[pic]cos[pic] |

|6. [pic] |36. [pic] |

|7. sec[pic]sin[pic]cot[pic]=1 |37. [pic] |

|8. cot[pic]csc[pic]tan2[pic]=sec[pic] |38. [pic] |

|9. cos2[pic] - sin2[pic] = 2cos2[pic] - 1 |39. csc4[pic] - cot4[pic] = 2csc2[pic] - 1 |

|10. cos2 – sin2[pic] = 1 – 2sin2[pic] |40. [pic] |

|11. cot[pic]sin[pic] = cos[pic] |41. [pic] |

|12. [pic] |42. [pic] |

|13. sin[pic] (1 + csc[pic]) = sin[pic] + 1 |43. [pic] |

|14. (1 + tan[pic])2 = sec2[pic] + 2tan[pic] |44. 1 + cos[pic] = cot[pic](sin[pic] + tan[pic]) |

|15. (1 + tan2[pic])cos2[pic] = 1 |45. 1 - sin[pic] = tan[pic](cot[pic] - cos[pic]) |

|16. cos[pic] = sec[pic] - sin[pic]tan[pic] |46. [pic] |

|17. (sec[pic] + tan[pic])(sec[pic] - tan[pic]) = 1 |47. (sec[pic] - tan[pic])2 = [pic] |

|18. [pic] |48. [pic] |

|19. [pic]= tan[pic] - 2sec[pic] |49. [pic] |

|20. [pic] |50. sin4[pic] - cos4[pic] = 1 – 2 cos2[pic] |

|21. sin[pic] + cos[pic]cot[pic] = csc[pic] |51. sin2[pic][pic]= sin2[pic] |

|22. cos[pic](csc[pic] - sec[pic]) = cot[pic] - 1 |52. [pic] |

|23. [pic] |53. [pic] |

|24. tan2[pic] - tan2[pic]sin2[pic]=sin2[pic] | |

|25. [pic] | |

|26. [pic] | |

|27. [pic] | |

|28. [pic] | |

|29. [pic] | |

|30. [pic] | |

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