Home
Class 10
MATHS
Prove that : (sinA-cosA)(cotA +tanA)=sec...

Prove that : `(sinA-cosA)(cotA +tanA)=secA-"cosec"A`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 D|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 E|16 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 B|22 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

Prove that: sinA(1+tanA)+cosA(1+cotA)= secA+"cosec"A

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

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

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

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

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

Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

Prove that: (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

Prove that: (1+sinA-cosA)/(1+sinA+cosA)=tan(A/2)

Prove that: (1+sinA-cosA)/(1+sinA+cosA) = tan(A/2)

NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

    Text Solution

    |

  2. Prove the identity (sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θ

    Text Solution

    |

  3. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

    Text Solution

    |

  4. If sec θ + tan θ = 7, then evaluate sec θ – tan θ

    Text Solution

    |

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

    Text Solution

    |

  6. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

    Text Solution

    |

  7. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

    Text Solution

    |

  8. If x=acostheta-bsinthetaandy=asintheta+bcostheta, then show that : ...

    Text Solution

    |

  9. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

    Text Solution

    |

  10. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

    Text Solution

    |

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

    Text Solution

    |

  12. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2" cose...

    Text Solution

    |

  13. If (1-sinA)(1-sinB)(1-sinC)=(1+sinA)(1+sinB)(1+sinC), then show that ...

    Text Solution

    |

  14. If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta=...

    Text Solution

    |

  15. Prove that (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tan...

    Text Solution

    |

  16. If (cosalpha)/(sinbeta)=n and (cosalpha)/(cosbeta)=m, then find cos^(2...

    Text Solution

    |

  17. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

    Text Solution

    |

  18. If x=asecthetacosphi ,y=secthetasinphiandz=ctantheta,show that(x^(2))/...

    Text Solution

    |

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

    Text Solution

    |

  20. Prove that : (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta)-tanth...

    Text Solution

    |