Home
Class 14
MATHS
If tan ^2 theta =1-e ^(2), then sec the...

`If tan ^2 theta =1-e ^(2),` then ` sec theta + tan ^(3) theta cosec theta =`

A

`(2+e^(2))^((3)/(2))`

B

`(2-e^(2))^((1)/(2))`

C

`(2+e^(2))^((1)/(2))`

D

`(2-e^(2))^((3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

If tan^(2)theta=1-e^(2) prove that sec theta+tan^(3)theta cos ec theta=(2-e^(2))^((3)/(2))

If tan^(2)theta=1-a^(2), prove that sec theta+tan^(3)theta csc theta=(2-a^(2))^((3)/(2))

If tan theta + sec theta = n, then sec ^(4) theta - tan ^(4) theta- 2 sec theta tan theta =

Cosider the following : 1. tan ^(2) theta - sin ^(2) theta = tan ^(2) theta sin ^(2) theta 2. (cosec theta - sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) =1 Which of the above is/are correct ?

If tan theta=2 then show that sec thetasin theta+tan^2 theta-cosec^2 theta=19/4

If tan ^(2) theta + cot^(2) theta = 2 , then what is the value of 2^(sec theta cosec theta ) ?

tan theta+(1)/(tan theta)=sec theta cosec theta

Prove each of the following identities : (i) ("cosec"theta + cot theta )/("cosec"theta - cot theta ) = ("cosec" theta + cot theta)^(2) = 1+2cot^(2) theta + 2"cosec" theta cot theta (ii) (sec theta + tan theta ) /( sec theta - tan theta) =(sec theta + tan theta )^(2) = 1+ 2tan^(2) theta + 2 sec theta tan theta

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If tan9^(@)=(p)/(q) , then the value of (sec^(2)81^(@))/(1+cot^(2)...

    Text Solution

    |

  2. If sectheta+tantheta=5 , then the value of (tantheta+1)/(tantheta-1...

    Text Solution

    |

  3. If tan ^2 theta =1-e ^(2), then sec theta + tan ^(3) theta cosec thet...

    Text Solution

    |

  4. Which one of the following is true for 0^(@)ltthetalt90^(@)?

    Text Solution

    |

  5. If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then fin...

    Text Solution

    |

  6. The value of (cos^(2)60^(@)+4sec^(2)30^(@)-tan^(2)45^(@))/(sin^(2)30...

    Text Solution

    |

  7. If cos^2 theta - sin^2 theta = 1/3, where 0 le theta le pi/2, then the...

    Text Solution

    |

  8. If tan theta = 1/(sqrt(11)) and 0 < theta < pi/2, then the value of ("...

    Text Solution

    |

  9. The value of (1)/(sqrt(2))"sin"(pi)/(6)"cos"(pi)/(4)-"cot"(pi)/(3)"...

    Text Solution

    |

  10. If sintheta=(3)/(5) , then the value of (tantheta+costheta)/(cotthet...

    Text Solution

    |

  11. If acostheta +bsin theta=pand a sin theta-b cos theta=q, then the r...

    Text Solution

    |

  12. If (sinalpha+"cosec"alpha)^(2)+(cosalpha+secalpha)^(2)=k+tan^(2)alpha...

    Text Solution

    |

  13. If sin21^(@)=(x)/(y) , then sec21^(@)-sin69^(@) is equal to

    Text Solution

    |

  14. If costheta=(x^(2)-y^(2))/(x^(2)+y^(2)) then the value of cotthet...

    Text Solution

    |

  15. If 7sinalpha=24cosalpha,0ltalphalt(pi)/(2) then the value of 14tana...

    Text Solution

    |

  16. If 2sintheta+costheta=(7)/(3) then the value of (tan^(2)theta-sec...

    Text Solution

    |

  17. If 29tan theta=31 , then the value of (1+2sinthetacostheta)/(1-2...

    Text Solution

    |

  18. ABCD is a rectangle of which AC is a diagonal .The value of ...

    Text Solution

    |

  19. For any real values of theta,sqrt((sectheta-1)/(Sectheta+1))=?

    Text Solution

    |

  20. If the sum and difference of two angles are 135^(@)and(pi)/(12) ...

    Text Solution

    |