Home
Class 11
MATHS
If pcos e ctheta+qcottheta=2 and p^2cos...

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________

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If cos e ctheta-cottheta=q , then the value of cos e ctheta is

If tan theta+ cot theta = 2 , then tan^2 theta+ cot^2 theta =

If sin^2theta=cos^3theta prove that, cot^6theta-cot^2theta=1 .

Prove that, cot theta - tan theta = 2cot 2 theta

If the points (1,1):(0,sec^2theta); and (cos e c^2theta,0) are collinear, then find the value of theta

Solve 4cot2theta=cot^2theta-tan^2theta

If tan theta+ cot theta = 2 , then find the value of tan^5 theta+cot^5 theta .

If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek , then the value of k

If cos theta+sin theta = sqrt2 cos theta , then show cos theta-sin theta = sqrt2 sin theta .

If 5 sin^2 theta+4 cos^2 theta = 9/2 , find the value of tan theta .

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. In A B C , prove that cosA+cosB+cosClt=3/2dot

    Text Solution

    |

  2. In a DeltaABC, the median to the side BC is of length 1/sqrt(11-6sqrt...

    Text Solution

    |

  3. If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 t...

    Text Solution

    |

  4. If a, b and c are in G.P. then prove that <math xmlns="http://www.w3...

    Text Solution

    |

  5. In triangle ABC tan(A/2), tan(B/2) and tan (C/2) are in A.P. then prov...

    Text Solution

    |

  6. In triangleABC (b+c)/11=(c+a)/12=(a+b)/13 then prove that (cosA)/7=(co...

    Text Solution

    |

  7. alpha,beta,gammaand delta are angles in I,II,II and IV quadrants, resp...

    Text Solution

    |

  8. Solution of the equation sin(sqrt(1+sin2theta))=sintheta+costhetai s(n...

    Text Solution

    |

  9. If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equi...

    Text Solution

    |

  10. Let alpha,beta,gamma>0a n dalpha+beta+gamma=pi/2dot Then prove that sq...

    Text Solution

    |

  11. In DeltaABC, if BC is unity, sin(A/2)=x1,sin(B/2)=x2,cos(A/2)=x3,cos(B...

    Text Solution

    |

  12. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

    Text Solution

    |

  13. The ex-radii r1,r2,r3 or Delta ABC are in H.P. Show that its sides a,...

    Text Solution

    |

  14. Solve 7cos^2theta+3sin^2theta=4

    Text Solution

    |

  15. If sintheta+costheta=1/5"and"0 le theta ltpi, thentantheta is

    Text Solution

    |

  16. In A B C Prove that cos^2A/2+cos^2B/2+cos^2C/2lt=9/4dot If cos^2A/2...

    Text Solution

    |

  17. The exradii r1,r2 and r3 of /\A B C are in H.P. Show that its sides a...

    Text Solution

    |

  18. Find the number of roots of the equation tan(x+pi/6)=2tanx ,forx in (0...

    Text Solution

    |

  19. In triangle A B C , prove that cos e c A/2+cos e c B/2+cos e c C/2geq...

    Text Solution

    |

  20. If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1...

    Text Solution

    |