Home
Class 10
MATHS
Prove the following identities: 1/(sect...

Prove the following identities: `1/(sectheta-tantheta)=sectheta+tantheta`

Text Solution

AI Generated Solution

To prove the identity \[ \frac{1}{\sec \theta - \tan \theta} = \sec \theta + \tan \theta, \] we will start with the left-hand side (LHS) and manipulate it to show that it equals the right-hand side (RHS). ...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos
  • TRIGONOMETRIC RATIOS

    RD SHARMA|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

(sectheta+tantheta-1)(sectheta-tantheta+1)=

tantheta-tantheta/2=sectheta/2

(tantheta-sectheta)^2

If a=sectheta-tantheta and b= sectheta+tantheta , then

sqrt(2)sectheta+tantheta=1

tantheta+sectheta=sqrt(3)

find tantheta if sectheta+tantheta=x

int(sectheta)/(sec theta+tantheta)d theta=

If sectheta+tantheta=p , then sectheta=?

Solve: tantheta+sectheta=2costheta

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

    Text Solution

    |

  2. Prove the following identities: (tantheta-cottheta)/(sinthetacostheta...

    Text Solution

    |

  3. Prove the following identities: 1/(sectheta-tantheta)=sectheta+tanthe...

    Text Solution

    |

  4. Prove the following identities: (sec-tantheta)/(sectheta+tantheta)=1-...

    Text Solution

    |

  5. Prove the following identities: (tantheta+sectheta-1)/(tantheta-secth...

    Text Solution

    |

  6. Prove the following identities: (cotA+cos e cA-1)/(cotA-cos e cA+1)=(...

    Text Solution

    |

  7. Prove the following identities: (sintheta)/(cottheta+cos e ctheta)=2+...

    Text Solution

    |

  8. Prove the following identities: (cos e ctheta-sintheta)(sectheta-cost...

    Text Solution

    |

  9. Prove the following identities: (1-costheta)/(1+costheta)=(cos e cthe...

    Text Solution

    |

  10. Prove the following identities: (costheta)/(1-sintheta)+(costheta)/(1...

    Text Solution

    |

  11. Prove the following identities: (sin+cosA)/(sinA-cosA)+(sin-cosA)/(si...

    Text Solution

    |

  12. Prove the following identities: (cos e ctheta-sintheta)(sectheta-co...

    Text Solution

    |

  13. Prove that tantheta=(sintheta-2sin^3theta)/(2cos^3theta-costheta)

    Text Solution

    |

  14. Prove the following identities: cot^4A-1=cos e c^4A-2cos e c^2A

    Text Solution

    |

  15. Prove the following identities: sin^4A+cos^4A=1-2sin^2Acos^2A

    Text Solution

    |

  16. Prove the following identities: sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |