Home
Class 14
MATHS
If qcosectheta=p and theta is acute then...

If `qcosectheta=p` and `theta` is acute then value of `(sqrt(p^(2)-q^(2)))tan theta` is

A

p

B

q

C

pq

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIO OF SPECIFIC ANGLES

    LUCENT PUBLICATION|Exercise Exercise 10B|10 Videos

  • TRIGONOMETRIC RATIO OF SPECIFIC ANGLES

    LUCENT PUBLICATION|Exercise Exercise 10B|10 Videos

  • QUADRILATERAL

    LUCENT PUBLICATION|Exercise Exercise 7B|6 Videos

Similar Questions

Explore conceptually related problems

If sin theta=p and cos theta=q then the value of (p-2p^(3))/(2q^(3)-q) is

If 2cos^(2)theta-1=0andtheta is acute then what is the value of (cot^(2)theta-tan^(2)theta) ?

If tan theta+cot theta=2 and theta is acute, then the value of tan^100 theta +cot^100 theta is equal to: यदि tan theta+cot theta=2 and theta is acute, तो tan^100 theta +cot^100 theta का मान ज्ञात करें जहाँ theta न्यून कोण है

If p cos c theta+q cot theta=2 and p^(2)cos ec^(2)theta-q^(2)cot^(2)theta=5 then the value of sqrt(81p^(-2)-q^(-2)) is

If sec 2 theta =p + tan 2 theta, then the value of sin^(2) theta in terms of p is

If 4sin^(2)theta-3=0andtheta is acute then what is the value of (cot^(2)theta+tan^(2)theta) ?

If x =p cosec theta and y =q cot theta , then the value of (x^2)/(p^2)- (y^2)/(q^2) is

If sec2 theta=p+tan2 theta, then the value of sin^(2)theta in thrma os p is given by

If sec theta+tan theta= 2+sqrt5 and theta is an acute angle, then the value of sin theta is: यदि sec theta+tan theta= 2+sqrt5 तो sin theta का मान क्या होगा जहाँ theta न्यून कोण है

LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. In DeltaABC, /ABC=60^(@) and AD is perpendicular from A to BC . If AB=...

    Text Solution

    |

  2. If 0^(@)lethetale90^(@) then for any value of theta which one is corre...

    Text Solution

    |

  3. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

    Text Solution

    |

  4. If sin theta+cosec theta=2 then value of sin^(4)theta+cos^(4)theta ?

    Text Solution

    |

  5. If sec theta = (13)/( 5) , then what is the value of (2 sin theta - ...

    Text Solution

    |

  6. If 0^(@)lexle90^(@) and sinx+sqrt(3)cosx=1 , then what is the value of...

    Text Solution

    |

  7. In a right angled DeltaABC if /B=90^(@),AC=2sqrt(5) and AB-BC=2 then w...

    Text Solution

    |

  8. Statement (A) : If tantheta+cottheta=2 , then for all n epsilon N, tan...

    Text Solution

    |

  9. What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-s...

    Text Solution

    |

  10. If qcosectheta=p and theta is acute then value of (sqrt(p^(2)-q^(2)))t...

    Text Solution

    |

  11. If 2x^(2)cos 60^(@)-4cot^(2)45^(@)-2tan 60^(@)=0, then what is the val...

    Text Solution

    |

  12. If 13 cos theta=12k-5 where 0lethetale90^(@) and k is an integer then ...

    Text Solution

    |

  13. Statement (A) : tan50^(@)gt1 Reason (R ) : For 0^(@)ltthetalt90^(@),...

    Text Solution

    |

  14. Which one of the following is true ?

    Text Solution

    |

  15. (kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^...

    Text Solution

    |

  16. If sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@)) , then sin((2alpha...

    Text Solution

    |

  17. Find the value of cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@).

    Text Solution

    |

  18. If tantheta=1, then the value of (8sintheta+5cos theta)/(sin^(3)thet...

    Text Solution

    |

  19. What of the value of tan.(pi)/(8).tan.(pi)/(12).tan.(pi)/(4).tan.(3pi)...

    Text Solution

    |

  20. If tan15^(@)=2-sqrt(3) then value of tan15^(@)cot75^(@)+tan75^(@)cot15...

    Text Solution

    |