Home
Class 10
MATHS
Prove the following identities: cosec...

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

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 D|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 E|16 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 B|22 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove the following identities : cosec^(4) A - cosec^(2) A = cot^(4) A + cot^(2) A

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^(4) A (1 - sin^(4) A) - 2 tan^(2) A = 1

Prove the following identities : cosec^(4) A (1 - cos^(4) A) - 2 cot^(2) 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 : (sec A - tan A)/ (sec A + tan A) = 1 - 2 sec A tan A + 2 tan^(2) A

NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that (tanA+cotA)^(2)="cosec"^(2)A+sec^(2)A.

    Text Solution

    |

  2. Prove that : (sec^(2)A-1)("cosec"^(2)A-1)=1

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that : (i) tan^(2)A-sin^(2)A=tan^(2)A*sin^(2)A (i...

    Text Solution

    |

  5. Prove that : (1-tan^(2)theta)/(cot^(2)theta-1)=tan^(2)theta

    Text Solution

    |

  6. Prove that : (sectheta-tantheta)^(2)=(1-sintheta)/(1+sintheta)

    Text Solution

    |

  7. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

    Text Solution

    |

  8. Prove that : (sinA+cosA)^(2)+(sinA-cosA)^(2)=2

    Text Solution

    |

  9. Prove that : sin^(4)theta-cos^(4)theta=2sin^(2)theta-1

    Text Solution

    |

  10. Prove that : (i) (1-cosA)/(sinA)=(sinA)/(1+cosA) (ii) ...

    Text Solution

    |

  11. Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2secthe...

    Text Solution

    |

  12. Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec...

    Text Solution

    |

  13. Prove that : (i) (1)/(1-cosA)+(1)/(1+cosA)=2"cosec"^(2)A " " (...

    Text Solution

    |

  14. Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2se...

    Text Solution

    |

  15. Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

    Text Solution

    |

  16. Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cott...

    Text Solution

    |

  17. Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

    Text Solution

    |

  18. Prove the identity (sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θ

    Text Solution

    |

  19. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

    Text Solution

    |

  20. If sec θ + tan θ = 7, then evaluate sec θ – tan θ

    Text Solution

    |