Home
Class 12
MATHS
If cosectheta=(p+q)/(p-q), then cot(pi/4...

If `cosectheta=(p+q)/(p-q),` then `cot(pi/4+theta/2)=`

A

`sqrt((p)/(q))`

B

`sqrt((q)/(p))`

C

`sqrt(pq)`

D

pq

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|189 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If cosectheta + cottheta=p , then prove that the cos theta=(p^2-1)/(p^2+1)

If cosec theta + cot theta = p prove that cos theta = p2-1 / p2 + 1

If cos p theta+cos q theta=0 , then prove that the different values of theta are in A.P. with common difference 2pi// (p pm q) .

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

If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 then the value of sqrt(81 p^(-2)-q^(-2)) is________

If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 then the value of sqrt(81 p^(-2)- q^(-2)) is________

Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin theta) and Q(cos(alpha-theta)) , then Q is obtained from P by

If cosectheta-cottheta=q , then the value of cosectheta is

If : cot theta + cot((pi)/4 + theta) = 2 , then : theta =

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. (1+cos56^(@)+cos58^(@) -cos66^(@))/(cos28^(@)cos29^@sin33^(@)) =

    Text Solution

    |

  2. alpha and beta are acute angles and cos2alpha = (3cos2beta-1)/(3-cos2b...

    Text Solution

    |

  3. If cosectheta=(p+q)/(p-q), then cot(pi/4+theta/2)=

    Text Solution

    |

  4. If sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)=

    Text Solution

    |

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

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. The value of sum(k=1)^(3) cos^(2)(2k-1)(pi)/(12), is

    Text Solution

    |

  8. If (a^(2)+1)/(2a)=costheta, then (a^(6)+1)/(2a^(3))=

    Text Solution

    |

  9. The greatest integer less than or equal to (1)/(cos 290^(@))+(1)/(sqrt...

    Text Solution

    |

  10. If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+bet...

    Text Solution

    |

  11. A and B are positive acute angles satisfying the equations 3cos^(2)A...

    Text Solution

    |

  12. If T(n)=cos^(n)theta+sin ^(n)theta, then 2T(6)-3T(4)+1=

    Text Solution

    |

  13. The maximum value of 1+8sin^(2)x^(2)cos^(2)x^(2) is

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha)} is equa...

    Text Solution

    |

  16. The minimum value of (1)/(3sintheta-4costheta+7), is

    Text Solution

    |

  17. The maximum value of cos^(2)A+cos^(2)B-cos^(2)C, is

    Text Solution

    |

  18. If ys invarphi=x s in(gamma+delta)=cos(alpha-beta)sin(gamma-delta), pr...

    Text Solution

    |

  19. cosx{(cosx)/(1-sinx)+(1-sinx)/(cosx)}, is

    Text Solution

    |

  20. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

    Text Solution

    |