Home
Class 14
MATHS
Prove that: (cos A - sin A + 1)/(cos A +...

Prove that: `(cos A - sin A + 1)/(cos A + sin A -1) = "cosec"A + cot A`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11A|76 Videos
  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos
  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

Similar Questions

Explore conceptually related problems

prove that (cos A-sin A + 1) / (cos A + sin A-1) = cos ecA + cot A

(cos A-sin A + 1) / (cos A + sin A-1) = csc A + cot A

Prove that : (cosec A-sin A ) (sec A-cos A)=sinA cosA

Prove that : (1+ cos A)/(sinA) + (sin A)/(1+ cos A) = 2 "cosec " A

Prove that (sin A) / (1-cos A) = (1 + cos A) / (sin A)

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(cos A-sin A+1)/(cos A+sin A-1)=cos ecA+cot A

Prove that (sin A + 1-cos A) / (sin A-1 + cos A) = (1 + sin A) / (cos A)

Prove that (sin A + 1-cos A) / (sin A-1 + cos A) = (1 + sin A) / (cos A)

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. Prove that: (cos A - sin A + 1)/(cos A + sin A -1) = "cosec"A + cot A

    Text Solution

    |

  2. If sec theta=4x and tan theta=4/x, (x ne 0) then the value of 8(x^2-1/...

    Text Solution

    |

  3. 2-cos^(2)theta =3 sintheta costheta , sintheta ne cos theta, then the...

    Text Solution

    |

  4. If sintheta+costheta=sqrt(2)sin(90^(@)-theta) , then the value of co...

    Text Solution

    |

  5. If x sin^(3) theta + y cos^(3) theta = sin theta cos theta and x sin t...

    Text Solution

    |

  6. A and B are complementary angles, then find the value of sinAcosB+cosA...

    Text Solution

    |

  7. The least value of 2sin^2theta+3cos^2theta is

    Text Solution

    |

  8. sec^(4)theta - sec^(2)theta equals

    Text Solution

    |

  9. If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2...

    Text Solution

    |

  10. If sec theta - cosec theta = 0 , then the value of (sec theta + cosec ...

    Text Solution

    |

  11. If P sin theta = sqrt(3) and P costheta =1, then the value of P is:

    Text Solution

    |

  12. If mu(n) = cos^(n)alpha + sin^(n)alpha, then the value of 2mu(6)- 3mu(...

    Text Solution

    |

  13. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

    Text Solution

    |

  14. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

    Text Solution

    |

  15. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

    Text Solution

    |

  16. The value of theta [0^(@) lt theta lt 90^(@)], for which (cos theta)/(...

    Text Solution

    |

  17. If sec theta+tan theta=3, then the value of sec theta is: यदि sec th...

    Text Solution

    |

  18. If tan2theta.tan4theta=1 , then the value of tan3theta is

    Text Solution

    |

  19. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

    Text Solution

    |

  20. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

    Text Solution

    |

  21. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

    Text Solution

    |