Home
Class 10
MATHS
Prove the following identities: sec^4...

Prove the following identities: `sec^4A-sec^2A=tan^4A+tan^2A`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities : sec^(2) A . cosec^(2) A = tan^(2) A + cot^(2) A + 2

Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2theta

Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2theta

Prove the following identities : (sec A - tan A)/ (sec A + tan A) = 1 - 2 sec A tan A + 2 tan^(2) A

Prove the following identities : sec^(4) A (1 - sin^(4) A) - 2 tan^(2) A = 1

Prove the following identities : sec A (1 - sin A) (sec A + tan A) = 1

Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta+cosec^4 theta=cot^4theta-tan^4theta

Prove the following identities : (1 + (sec A - tan A)^(2))/(cosec A (sec A - tan A)) = 2 tan A

Prove the following identities : (1 + cot A - cosec A) ( 1 + tan A +sec A) = 2

Prove the following identities : (sec A - cos A) (sec A + cos A) = sin^(2) A + tan^(2) A

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the following identities: sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1...

    Text Solution

    |

  2. Prove the following identities: sin^6A+cos^6A=1-3sin^2Acos^2A

    Text Solution

    |

  3. Prove the following identities: sec^4A-sec^2A=tan^4A+tan^2A

    Text Solution

    |

  4. Without using trigonometric tables, evaluate each of the following: (...

    Text Solution

    |

  5. Without using trigonometric tables, evaluate each of the following: ...

    Text Solution

    |

  6. Without using trigonometric tables, evaluate each of the following: (...

    Text Solution

    |

  7. Without using trigonometric tables, evaluate each of the following: 2/...

    Text Solution

    |

  8. Prove the following trigonometric identities: (i)(1-sin^2theta)sec^2...

    Text Solution

    |

  9. Prove the following trigonometric identities: cos^2theta+1/(1+cot^2...

    Text Solution

    |

  10. Prove: cos e c^2theta+sec^2theta=cos e c^2thetasec^2theta

    Text Solution

    |

  11. Prove the following trigonometric identities : cot^2theta-1/(sin^2t...

    Text Solution

    |

  12. Prove the following trigonometric identities : (1+cot^2theta)(1-cos...

    Text Solution

    |

  13. If x=rsinAcosC ,\ \ y=rsinAsinC and z=rcosA , prove that r^2=x^2+y^...

    Text Solution

    |

  14. If acostheta+bsintheta=m and asintheta-bcostheta=n , prove that a^2...

    Text Solution

    |

  15. If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

    Text Solution

    |

  16. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

    Text Solution

    |

  17. Prove the following identities: (i) costhetasin(90^o-theta)+sintheta...

    Text Solution

    |

  18. Prove: (1-cos^2A)cos e c^2A=1

    Text Solution

    |

  19. Prove: (1+cot^2A)sin^2A=1

    Text Solution

    |

  20. Prove: tan^2thetacos^2theta=1-cos^2theta

    Text Solution

    |