Home
Class 12
MATHS
If tan theta=(p)/(q) then (p sin theta-q...

If `tan theta=(p)/(q)` then `(p sin theta-q cos theta)/(p sin theta+q cos theta)=`

A

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

B

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

C

`(p^(2)+q^(2))(p^(2)-q^(2))`

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

(3 cos theta+cos 3 theta)/(3 sin theta-sin 3 theta)=

((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

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

If 4 tan theta = 3, Evaluate [ (4 sin theta - cos theta +1)/(4 sin theta+ cos theta -1)]

If tan theta=(b)/(a) then a cos 2 theta+b sin 2 theta=

If 3 cot theta = 5, ( 5 sin theta - 3 cos theta)/( 5 sin theta + 3 cos theta) = _______

(sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta)= ________

If sec theta=13//5 and theta is acute find (2 sin theta-3 cos theta)/(4 sin theta-9cos theta)

If sec theta=13//5 and theta is acute find (2 sin theta-3 cos theta)/(4 sin theta-9cos theta)

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If sin x+sin y=3(cos y-cos x) then the value of sin 3 x+sin 3 y=

    Text Solution

    |

  2. If sec theta+tan theta=1.5 then tan theta=

    Text Solution

    |

  3. If tan theta=(p)/(q) then (p sin theta-q cos theta)/(p sin theta+q cos...

    Text Solution

    |

  4. If tan theta=(b)/(a) then a cos 2 theta+b sin 2 theta=

    Text Solution

    |

  5. If a cos theta-b sin theta=c then a sin theta+b cos theta=

    Text Solution

    |

  6. sin alpha=(12)/(13) (0 lt alpha lt (pi)/(2)r) cos beta=-(3)/(5)(pi lt ...

    Text Solution

    |

  7. If A+B=225^(circ) then (cot A)/(1+cot A) . (cot B)/(1+cot B)=

    Text Solution

    |

  8. If sin theta+sin ^(2) theta+sin ^(3) theta=1 then cos ^(6) theta-4 cos...

    Text Solution

    |

  9. (cos 9^(circ)+sin 9^(0))/(cos 9^(circ)-sin 9^(circ))=

    Text Solution

    |

  10. If sin theta+sin ^(2) theta=1 then cos ^(12) theta+3 cos ^(10) theta+3...

    Text Solution

    |

  11. If cos (alpha+beta)=(4)/(5), sin (alpha-beta)=(5)/(13) and 0 lt alpha ...

    Text Solution

    |

  12. If tan alpha=(1)/(3) and tan (beta)=(1)/(2) then tan (alpha+beta)=

    Text Solution

    |

  13. cos (alpha+beta)=(3)/(5) and sin (alpha-beta)=(3)/(5) and 0 lt alpha, ...

    Text Solution

    |

  14. If cos (alpha+beta)=(4)/(5), sin (alpha-beta)=(5)/(13) and 0 lt alpha...

    Text Solution

    |

  15. If A B C are the angles of a triangle then sin ^(2) A+sin ^(2) B+sin ^...

    Text Solution

    |

  16. If the angle A of a triangle A B C is given by equation 5 cos A+3=0, t...

    Text Solution

    |

  17. If 3 sin 2 theta=2 sin 3 theta and 0 lt theta lt pi then sin theta=

    Text Solution

    |

  18. If P(n) = cos ^(n)theta + sin^(n)theta then 2. P(6) - 3. P(4) + 1 =

    Text Solution

    |

  19. If A-B=(pi)/(4) then (1+tan A)(1-tan B)=

    Text Solution

    |

  20. cot theta=sin 2 theta(theta neq n pi, n in z), if theta=

    Text Solution

    |