Home
Class 10
MATHS
Prove: 1/(secA-1)+1/(secA+1)=2\ cos e c\...

Prove: `1/(secA-1)+1/(secA+1)=2\ cos e c\ AcotA`

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: (sinA)/(secA+tanA-1)+(cosA)/(cos e c\ A+cotA-1)=1

Prove: (cos e c\ A)/(cos e c\ A-1)+(cos e c\ A)/(cos e c\ A+1)=2sec^2A

Prove: secA(1-sinA)(secA+tanA)=1

Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

Prove: (1-cosA)/(1+cosA)=(cotA-cos e c\ A)^2

Prove that : ("cosec"A+1)/("cosec"A-1)=secA+tanA

Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2\ cos e c\ theta

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

Prove that: (tanA+ sec A-1)/(tan A-secA+1)=(cosA)/(1-sinA)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (secA-tanA)^2=(1-sinA)/(1+sinA)

    Text Solution

    |

  2. Prove: (1-cosA)/(1+cosA)=(cotA-cos e c\ A)^2

    Text Solution

    |

  3. Prove: 1/(secA-1)+1/(secA+1)=2\ cos e c\ AcotA

    Text Solution

    |

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

    Text Solution

    |

  5. Prove: (cos e c\ A)/(cos e c\ A-1)+(cos e c\ A)/(cos e c\ A+1)=2sec^2A

    Text Solution

    |

  6. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

    Text Solution

    |

  7. Prove : (tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1

    Text Solution

    |

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

    Text Solution

    |

  9. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)

    Text Solution

    |

  10. Prove that: (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-ta...

    Text Solution

    |

  11. Prove that (costheta-sintheta+1)/(costheta+sintheta-1)=c o s e ctheta+...

    Text Solution

    |

  12. Prove: tan^2A+cot^2A=sec^2A cos e c^2A-2

    Text Solution

    |

  13. Prove: (1-tan^2A)/(cot^2A-1)=tan^2A

    Text Solution

    |

  14. Prove: 1+(cot^2theta)/(1+cos e c\ theta)=cos e c\ theta

    Text Solution

    |

  15. Prove: (costheta)/(cos e c\ theta+1)+(costheta)/(cos e c\ theta-1)=2ta...

    Text Solution

    |

  16. Prove: (1+costheta-sin^2theta)/(sintheta(1+costheta))= cottheta

    Text Solution

    |

  17. Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthet...

    Text Solution

    |

  18. Prove: (tantheta+1/(costheta))^2+(tantheta-1/(costheta))^2=2((1+sin^2t...

    Text Solution

    |

  19. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

    Text Solution

    |

  20. Prove: ((1+sintheta-costheta)/(1+sintheta+costheta))^2=(1-costheta)/(1...

    Text Solution

    |