Home
Class 14
MATHS
If sintheta = sqrt3 costheta, 0^circ lt ...

If `sintheta = sqrt3 costheta, 0^circ lt theta lt 90^circ`, then the value of `2sin^(2)theta + sec^(2)theta + sin theta sec theta + cosec theta` is: यदि `sintheta = sqrt3 costheta, 0^circ lt theta lt 90^circ`, , तो `2sin^(2)theta + sec^(2)theta + sin theta sec theta + cosec theta`का मान है:

A

`(33 +10 sqrt3)/3`

B

`(33 +10 sqrt3)/6`

C

`(19 +10 sqrt3)/3`

D

`(19 +10 sqrt3)/6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SSC CHSL 2018 QUESTION PAPER

    PINNACLE|Exercise Exercise|600 Videos
  • TRIGONOMETRY

    PINNACLE|Exercise EXERCISE|371 Videos

Similar Questions

Explore conceptually related problems

If sintheta=sqrt3costheta,theta^(@)ltthetalt90^(@) then the value of 2sin^(2) theta + sec^(2) theta + sin theta sec theta + cosec theta is ?

If sin theta= sqrt 3 cos theta, 0^@< theta< 90^@ , then the value of 2 sin^2 theta+ sec^2 theta+ sin theta sec theta+ cosec theta is :

If 3sin theta = 2cos^(2) theta, 0^circ lt theta lt 90^circ , then the value of (tan theta+ cos theta + sin theta) is:

If (1/(1+cosec theta ) - 1/(1-cosec theta ))cos theta= 2 , 0^circ lt theta lt 90^circ , then the value of sin^(2) theta + cot^(2) theta + sec^(2) theta is: यदि (1/(1+cosec theta ) - 1/(1-cosec theta ))cos theta= 2 , 0^circ lt theta lt 90^circ , है,तो sin^(2) theta + cot^(2) theta + sec^(2) theta का मान हैः

If sin theta=sqrt 3 cos theta, 0^@ यदि sin theta=sqrt 3 cos theta, 0^@< theta <90^@ है, तो 2 sin^2 theta+ sec^2 theta+sin theta. sec theta+ cosec theta का मान ज्ञात करें |

If sin theta sec^(2) theta = (2)/(3), 0^(@) lt theta lt 90^(@) , then the value of (tan^(2) theta + sin^(2)theta) is :

If 7sin^(2)theta+cos^(2)theta=4,0^(@)lt theta lt90^(@) , then the value of (tan^(2)2theta+"cosec"^(2)2theta) is :

If 5 sin theta - 4 cos theta = 0, 0^(@) lt theta lt 90^(@) , then the value of (5sintheta-2costheta)/(sintheta+3costheta) is :

If sintheta - cos theta = 7/13 and 0 lt theta lt 90^(@) ,then the value of sin theta + cos theta is:

PINNACLE-SSC MATHS MAINS 2018 TRIGNOMETRY-Exercise
  1. The value of the expression (cos^(6)theta + sin^(6) theta – 1) (tan^(2...

    Text Solution

    |

  2. If sintheta = sqrt3 costheta, 0^circ lt theta lt 90^circ, then the val...

    Text Solution

    |

  3. ((1-tanθ)/(1-cotθ))^2 +1 = ? ((1-tanθ)/(1-cotθ))^2 +1 बराबर है :

    Text Solution

    |

  4. What is the value of cosec (65^circ+ θ) – sec(25^circ – θ) + tan^(2)20...

    Text Solution

    |

  5. The value of ((cos9^circ+sin81^circ)(sec9^circ+cosec81^circ))/(sin56^c...

    Text Solution

    |

  6. If 5sin θ – 4cos θ = 0, 0^circ lt θ lt 90^circ, then the value of (5si...

    Text Solution

    |

  7. ((2sinA) (1+ sinA))/(1+ sinA +cosA)is equal to : ((2sinA) (1+ sinA))/(...

    Text Solution

    |

  8. ((1+cos theta)^2+ sin^2 theta)/ ((cosec^2 theta-1)sin^2 theta) =?

    Text Solution

    |

  9. If θ lies in the first quadrant and cos^(2) θ – sin^(2) θ = 1/2, then ...

    Text Solution

    |

  10. sqrt((cot theta+cos theta)/(cot theta -cos theta)) is equal to : sqr...

    Text Solution

    |

  11. If (1 + sin∅)/(1 - sin∅) = p^2/q^2, then sec∅ is equal to: यदि (1 + si...

    Text Solution

    |

  12. If (sin^2 phi+3sin phi+2)/(cos^2 phi)=1, where -90^@< phi <90^@, then ...

    Text Solution

    |

  13. (sec∅ - tan∅)^2 (1 + sin∅)^2 ÷ sin^(2)∅ =? (sec∅ - tan∅)^2 (1 + sin∅)^...

    Text Solution

    |

  14. The value of ((sinA)/(1-cosA)+(1-cosA)/ (sinA)) div ((cot^2 A)/(1+cose...

    Text Solution

    |

  15. The value of (tan 29^circ cot61^circ - cosec^2 61^circ) + (cot^2 54^...

    Text Solution

    |

  16. The value of (sec psi(1-sin psi)(sin psi+ cos psi)(sec psi+tan psi))/(...

    Text Solution

    |

  17. The value of ((sin(78^circ +θ) - cos (12^circ +θ) +(tan^(2)70^circ - ...

    Text Solution

    |

  18. If 3(cot^(2)∅ - cos^(2)∅) = cos^(2)∅, 0^circ lt ∅ lt 90^circ, then the...

    Text Solution

    |

  19. The value of sqrt((cosec ∅- cot∅)/(cosec∅ + ccot ∅)) ÷ sin∅/(1 + cos ∅...

    Text Solution

    |

  20. The value of tan^(2)∅+ cot^(2)∅− sec^(2)∅ cosec^(2)∅is equal to: tan^(...

    Text Solution

    |