Home
Class 10
MATHS
Show that (cot A + tan B)/(cot B + tan A...

Show that `(cot A + tan B)`/`(cot B + tan A)` = cot A. tan B.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BEYOND PUBLICATION|Exercise EXERCISE|209 Videos
  • TANGENTS AND SECANTS TO CIRCLE

    BEYOND PUBLICATION|Exercise EXERCISE|157 Videos

Similar Questions

Explore conceptually related problems

cot A + tan A =

Show that (Tan A + Cot B)/(Tan B + Cot A) = Tan A. Cot B.

(tan A + tan B)/( cot A + cot B)+(1- tan A tan B)/( 1- cot A cot B)=

If 2A is not an integral multiple of pi , then show that i) cot A+tan A=2"cosec " 2A ii) cot A-tan A=2 cot2A and deduce the values of tan52 1^(@)/2 and tan37 1^(@)/2

If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

Show that (1- tan ^(2) A ) /( cot ^(2) A-1) =tan ^(2) A

If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

If A, B, C, D be the angle of a quadrilateral, then (tan A + tan B + tan C + tan D)/( cot A + cot B + cot C + cot D) =

If A+B=45^(@) , then prove that (i) (1+ tan A) (1+ tan B) =2 (ii) (cot A-1) (cot B-1)=2

If A is not an integral multiple of (pi)/(2) , prove that (i) tan A + cot A= 2 cosec 2 A (ii) cot A - tan A = 2cot 2A

BEYOND PUBLICATION-TRIGONOMETRY-EXERCISE
  1. If A , B and C are interior angles of triangle ABC ,then show that sin...

    Text Solution

    |

  2. If tan theta + cot theta = 2, find the value of tan^2 theta + cot^2 th...

    Text Solution

    |

  3. Show that (cot A + tan B)/(cot B + tan A) = cot A. tan B.

    Text Solution

    |

  4. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

    Text Solution

    |

  5. Show that (cot A - cos A)/(cot A + cos A) = ( cosec A - 1)/(1 + cosec...

    Text Solution

    |

  6. show that 1 + (cot^2 theta/ (1 + cosec theta)) = cosec theta

    Text Solution

    |

  7. show that (1 + cos theta - sin^2 theta)/[(1 + cos theta)sin theta] = c...

    Text Solution

    |

  8. Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2...

    Text Solution

    |

  9. Prove that [(1 + tan^2 theta)cot theta]/(cosec^2 theta) = tan theta

    Text Solution

    |

  10. Prove that (1 + sec theta) / sec theta = sin^2 theta /(1 - cos theta)

    Text Solution

    |

  11. Prove that cos A/(1 - tan A) + sin A /(1 - cot A)= sin A + cos A

    Text Solution

    |

  12. If 5 tan theta= 4, then the value of (5 sin theta - 3 cos theta)/(5 si...

    Text Solution

    |

  13. The value of (2tan30^@)/(1+tan^2 30^@)=

    Text Solution

    |

  14. The value of sin 45^@+cos45^@ is

    Text Solution

    |

  15. tantheta is not defined when theta is

    Text Solution

    |

  16. tan 135^@

    Text Solution

    |

  17. sin (A-B) = 1/2, cos (A+B) = 1/2,0^(0)<A + B <90^(0), A>B అయిన A మరియు...

    Text Solution

    |

  18. sin (A-B) = 1/2, cos (A+B) = 1/2,0^(0)<A + B <90^(0), A>B అయిన A మరియు...

    Text Solution

    |

  19. If alpha+beta=90^@ and alpha=2beta, then cos^2alpha+sin^2beta = ………………...

    Text Solution

    |

  20. cos^2 0^@+cos^2 60^@ =

    Text Solution

    |