Home
Class 10
MATHS
Prove: (secA-tanA)^2=(1-sinA)/(1+sinA)...

Prove: `(secA-tanA)^2=(1-sinA)/(1+sinA)`

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

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

Prove that: cotA/2-tanA/2=(cosA/2)/(sinA/2)-(sinA/2)/(cosA/2) =(cos^(2)A/2-sin^(2)A/2)/(sinA/2cosA/2) =cosA/(1/2.(2sinA/2cosA/2)) =(2cosA)/(sinA)=2cotA = RHS. Hence Proved.

Prove that: sqrt((1-sinA)/(1+sinA))={(secA-tanA,if -pi/2 lt A lt pi/2),(tanA-secA ,if pi/2 lt A lt (3pi)/2):}

i) Prove that: [(1-sinA)/(1-secA)-(1+sinA)/(1+secA)]=2cotA(cosA-"cosec"A)

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

What is the value of (1+sinA)/(1-sinA)-(1-sinA)/(1+sinA) ?

Prove that : (cosA)/(1+sin A) +(1+sinA)/(cosA)=2 sec A

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

Prove that sqrt[(1+sinA)/(1 - sinA)] = secA + tanA

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

    Text Solution

    |

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

    Text Solution

    |

  3. Prove: (secA-tanA)^2=(1-sinA)/(1+sinA)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. (tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1

    Text Solution

    |

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

    Text Solution

    |

  11. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)

    Text Solution

    |

  12. (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |