Home
Class 10
MATHS
Prove that cottheta+tantheta=secthetacos...

Prove that `cottheta+tantheta=secthetacosectheta` .

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    MBD|Exercise EXERCISE|176 Videos

  • COORDINATE GEOMETRY

    MBD|Exercise EXERCISE|64 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    MBD|Exercise EXERCISE|183 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacosectheta .

Prove that (sectheta+tantheta)(1-sintheta)=costheta .

sqrt(sec^2theta+cosec^2theta)=tantheta+cottheta=sectheta.cosectheta. .

Prove that (cosectheta+cottheta)/(cosectheta-cottheta) =((1+costheta)/sintheta)^2 .

Prove that sintheta/(1-costheta)=cosectheta+cottheta .

tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+tantheta+cottheta .

Prove that sqrt((sectheta-tantheta)/(sectheta+tantheta))=sectheta-tantheta .

Prove tantheta/(sectheta-1)+(tantheta)/(sectheta+1)=2cosectheta .

Prove that (1+tan^2theta)sinthetacostheta=tantheta .

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

    Text Solution

    |

  2. Prove that sintheta(cosectheta-sintheta)=cos^2theta .

    Text Solution

    |

  3. Prove that cottheta+tantheta=secthetacosectheta .

    Text Solution

    |

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

    Text Solution

    |

  5. Prove that tan^2theta-sin^2theta=tan^2thetasin^2theta .

    Text Solution

    |

  6. Prove that sec^4theta-sec^2theta=tan^4theta+tan^2theta .

    Text Solution

    |

  7. Prove that (1+tan^2theta)sinthetacostheta=tantheta .

    Text Solution

    |

  8. Prove that (sectheta+tantheta)(1-sintheta)=costheta .

    Text Solution

    |

  9. Prove that (cosectheta+cottheta)(1-costheta)=sintheta .

    Text Solution

    |

  10. Prove that sin^3theta+cos^3theta=(sintheta+costheta)(1-sinthetacosthet...

    Text Solution

    |

  11. Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta .

    Text Solution

    |

  12. Prove that 1/(cosecA+cotA)=(cosecA-cotA) .

    Text Solution

    |

  13. Prove that (cosecA+cotA)/(cosecA-cotA)=(cosecA+cotA)^2 .

    Text Solution

    |

  14. Prove that (cosecA)/(cosecA-1)+(cosecA)/(cosecA+1)=2sec^2A .

    Text Solution

    |

  15. Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta ...

    Text Solution

    |

  16. Prove that:(1+cos^2A)/(sin^2A)=2cosec^2A-1

    Text Solution

    |

  17. Prove that (1/costheta-costheta)(1/sintheta-sintheta)=1/(tantheta+cott...

    Text Solution

    |

  18. Prove that (1-costheta)/(1+costheta)=(cosectheta-cottheta)^2 .

    Text Solution

    |

  19. sqrt(sec^2theta+cosec^2theta)=tantheta+cottheta=sectheta.cosectheta. .

    Text Solution

    |

  20. Prove that sqrt((1+sinA)/(1-sinA))=(1+sinA)/cosA .

    Text Solution

    |