Home
Class 10
MATHS
Prove the trigonometric identities: 1/(s...

Prove the trigonometric identities: `1/(secA+tanA)-1/(cosA)=1/(cosA)-1/(secA-tanA)`

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 that 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)

Prove that 1/(secA-tanA)-1/(cosA)=1/cosA-1/(secA-tanA) .

Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cosA+sinA

Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cosA+sinA

Prove the following identities: (cosA)/(1-tanA)+(sin^2A)/(sinA-cosA)=sinA+cosA

Prove the following identities: (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+tanA+cotA=1+secAcos e cA

Prove the following identities: (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+tanA+cotA=1+secAcos e cA

Prove the following identities: (cosA)/(1-sinA)+(sinA)/(1-cosA)+1 = (sinAcosA)/((1-sinA)(1-cosA) ((1+cotA+tanA)(sinA-cosA)/(sec^3A-cos e c^3A)=sin^2Acos^2A

Prove the following identities : sqrt((1-cosA)/(1+cosA))=(sin A)/(1+cos A)

Prove the following identities: (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(sin^2A-cos^2A)=2/(2sin^2A-1)=2/(1-2cos^2A)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove the trigonometric identities: 1/(secA+tanA)-1/(cosA)=1/(cosA)-1/...

    Text Solution

    |

  2. Prove the trigonometric identities: If Tn=sin^ntheta+cos^ntheta, prove...

    Text Solution

    |

  3. prove-that-1-cota-tana-sina-cosa-seca-cosec-2a-coseca-sec-2a-sinatana-...

    Text Solution

    |

  4. If x=asectheta+btantheta and y=atantheta+bsectheta ,prove that : x^2...

    Text Solution

    |

  5. If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove...

    Text Solution

    |

  6. If cos e ctheta-sintheta=a^3,sectheta-costheta=b^3, Prove that : a^2b...

    Text Solution

    |

  7. Ifacos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin^...

    Text Solution

    |

  8. If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

    Text Solution

    |

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

    Text Solution

    |

  10. If costheta+cos^2theta=1, Prove that: sin^(12)theta+3sin^(10)theta+3si...

    Text Solution

    |

  11. If cottheta=15/8, then Evaluate ((2+2sintheta)(1-sintheta))/((1+costhe...

    Text Solution

    |

  12. Prove the trigonometric identities: (tantheta)/(1-cottheta)+(cottheta)...

    Text Solution

    |

  13. If sintheta+costheta=x , Prove that : sin^6theta+cos^6theta=(4-3(x^2-1...

    Text Solution

    |

  14. Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(co...

    Text Solution

    |

  15. Prove that (1-sintheta+costheta)^2=2(1+costheta)(1-sintheta)

    Text Solution

    |

  16. Prove the following identities: (sinA+secA)^2+(cos"A"+"c o s e cA")^2=...

    Text Solution

    |

  17. Prove the identity: (1+tanAtanB)^2+(tan"A"-tan"B")^2=sec^2Asec^2B

    Text Solution

    |

  18. Prove the following identities: 2(sin^6theta+cos^6theta)-3(sin^4theta+...

    Text Solution

    |

  19. Prove the following identities: tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bc...

    Text Solution

    |

  20. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

    Text Solution

    |