Home
Class 14
MATHS
If x^(2)=sin^(2)30^(@)+4cot^(2)45^(@)-...

If `x^(2)=sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@)` , then the value of `x(xgt0)` is

A

`-(1)/(2)`

B

1

C

0

D

`(1)/(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 (x-xtan^(2)30^(@))/(1+tan^(2)30^(@))=sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@) , then the value of x is :

If 2x^(2)cos 60^(@)-4cot^(2)45^(@)-2tan 60^(@)=0 , then what is the value of x ?

If (2tan^(2)30^(@))/(1-tan^(2)30^(@))+sec^(2)45^(@)-sec^(2)0^(@)=xsec60^(@) , then the value of x is

If xsin60^(@). tan30^(@)=sec60^(@).cot45^(@) , then the value of x is

xcos^(2)30^(@).sin60^(@)=(tan^(2)45^(@).sec60^(@))/("cosec" 60^(@)) then the value of x is

Find the value of cosec^(2)30^(@)sin^(2)45^(@)-sec^(2)60^(@)

sin60^(@)*sec^(2)45^(@)-3tan30^(@).4sin60^(@)=

3 cot^(2) 60^(@) + sec^(2) 45 …………

The value of sin^(2)30^(@).cos^(2)45^(@)+2tan^(2)30^(@)-sec^(2)60^(@) is equal to :

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If in a triangle ABC , sin A =cos B , then the value of cos C ...

    Text Solution

    |

  2. If sinthetaxxcostheta=(1)/(2). The value of sintheta-costheta is whe...

    Text Solution

    |

  3. If x^(2)=sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@) , then the valu...

    Text Solution

    |

  4. If 7sin^(2)theta+3cos^(2)theta=4 then the value of sectheta+cosecthe...

    Text Solution

    |

  5. If theta be positive acute angle and 5 costheta+12sintheta=13 ,...

    Text Solution

    |

  6. If tan45^(@)=cottheta , then the value of theta , in radians is

    Text Solution

    |

  7. ABC is a triangle . If sin ((A+B)/(2))=(sqrt(3))/(2) then the ...

    Text Solution

    |

  8. If cos^(4)theta-sin^(4)theta=(1)/(3) , then the value of tan^(2)th...

    Text Solution

    |

  9. The value of tan80^(@)tan10^(@)+sin^(2)70^(@)+sin^(2)20^(@) is

    Text Solution

    |

  10. If sqrt(2)tan2theta=sqrt(6)and0^(@)ltthetalt45^(@), then the value o...

    Text Solution

    |

  11. If tanalpha=2, then the value of (sinalpha)/(sin^(3)alpha+cos^(3)a...

    Text Solution

    |

  12. If sinC-sinD=x , then the value of x is

    Text Solution

    |

  13. If (1)/((tanA+cotA))=x , the the value of x is

    Text Solution

    |

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

    Text Solution

    |

  15. If 5sin^(2)theta+4cos^(2)theta=(9)/(2)andltthetalt(pi)/(2) then tant...

    Text Solution

    |

  16. If x=acosthetacostheta, y=acosthetasinthetaandz=asintheta, then the v...

    Text Solution

    |

  17. If sec15theta=cosec15theta(0^(@)ltthetalt10^(@)) then value of theta...

    Text Solution

    |

  18. If tantheta=tan30^(@).tan60^(@)andtheta is an acute angle ,then 2t...

    Text Solution

    |

  19. The value of (1+tan^(2)theta)(1-sin^(2)theta) is

    Text Solution

    |

  20. If r sintheta=1,r costheta=sqrt(3) then the value of (r^(2)tanthe...

    Text Solution

    |