Home
Class 12
MATHS
If tan 20^@ =p , " then " (tan 160^@ - t...

If `tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) tan 110^(@))=`

A

`(2p)/(1+p^(2))`

B

`(1-p^(2))/(2p)`

C

`(1-p^(2))/(1+p^(2))`

D

`(2p)/(1-p^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)|147 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If tan 40^(@)= lambda , then (tan 140^(@)-tan 130^(@))/(1+ tan 140^(@) tan 130^(@))=

tan 70^(@) - tan 20^(@)=

If tan 20^(@) = lambda , " then " (tan 250^@ + tan 340^(@))/(tan 200^(@) - tan 110^(@))=

The value of (tan 80^@ - tan 10^(@))/( tan 70^(@))

If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan160^(@).tan110^(@)) = (1-lambda^2)/(2lambda) .

(tan 23^(@) + tan 22^(@))/(1- tan23^(@) * tan 22^(@))=

tan 9^(@) - tan 27^(@) - tan 63^(@) + tan 81^(@) =

tan 20^(@) tan 40^(@) tan 60^(@) tan 80^@=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If cos alpha + cos beta =0 = sin alpha + sin beta " then " cos (alpha...

    Text Solution

    |

  2. If tan theta =(cos 12^@ + sin 12^(@))/(cos 12^(@)-sin12^(@)) " then "...

    Text Solution

    |

  3. If tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) ta...

    Text Solution

    |

  4. If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(...

    Text Solution

    |

  5. If A+B=pi//2 then tan B+ 2 tan (A-B)=

    Text Solution

    |

  6. If A+B=135^(@) " then " (1+ cot A ) (1+cot B)=

    Text Solution

    |

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

    Text Solution

    |

  8. If A+B=225^(@) than prove that (cot A)/(1+cotA). (cot B)/(1+cotB)=(1)/...

    Text Solution

    |

  9. If alpha + beta = 3pi//4 " then " (1- tan alpha ) (1- tan beta ) =

    Text Solution

    |

  10. If A, B are acute angles, sin A =4/5 , tan B=5/12 , then sin (A+B)=

    Text Solution

    |

  11. If A,B are acute angle , sin 4/5 , tan B=5/12 , then cos (A-B)=

    Text Solution

    |

  12. If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

    Text Solution

    |

  13. If A,B are acute angle , tan A=(n)/(n+1), tan B=(1)/(2n+1), " then " A...

    Text Solution

    |

  14. If sin A=1//sqrt(10), sin B= 1//sqrt(5) where A and B are positive an...

    Text Solution

    |

  15. If A,B,C are acute angles , tan A=1/2 , tan B=1//5 , tan C=1//8 , " th...

    Text Solution

    |

  16. If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

    Text Solution

    |

  17. If cos A =-3//5 , sin B=7//25 and 90^(@) lt A lt 180^@,0^(@) lt B lt ...

    Text Solution

    |

  18. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

    Text Solution

    |

  19. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

    Text Solution

    |

  20. If cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@...

    Text Solution

    |