Home
Class 14
MATHS
If 4sin^(2)theta-3=0andtheta is acute ...

If `4sin^(2)theta-3=0andtheta` is acute then what is the value of `(cot^(2)theta+tan^(2)theta)` ?

A

a.2

B

b.0

C

c.`(10)/(3)`

D

d.6

Text Solution

Verified by Experts

The correct Answer is:
C
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 2cos^(2)theta-1=0andtheta is acute then what is the value of (cot^(2)theta-tan^(2)theta) ?

If sin2 theta-cos3 theta=0 and theta is acute then theta =

If (1+tan^(2)theta)=(625)/(49)andtheta is acute , then what is the value of (sqrt(sintheta+costheta)) ?

If tan theta+cot theta=2, find the value of tan^(2)theta+cot^(2)theta

If (sin^(2)theta)/(1+cos^(2)theta)+(sin^(2)theta)/(1-cos^(2)theta)=(8)/(5)andtheta is acute , then what is the value (in degrees ) of theta ?

If tan theta + cot theta =2 , then what is the value of tan^7 theta + cot ^7 theta ?

If cot theta=1, then find the value of : 5tan^(2)theta+2sin^(2)theta-3

If sin theta =(3)/(5) and theta is acute, then find the value of (tan theta - 2 cos theta )/(3sin theta+sec theta ) .

If cos^(2)theta+2sin^(2)theta+3cos^(2)theta+4sin^(2)theta+......20terms=10025 and theta is an acute angle then the value of sin theta-cos theta is

If theta an acute angle and tan theta+cot theta=2 Find the value of cot^(5)theta+tan^(5)theta

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

    Text Solution

    |

  2. If alpha+theta=(7pi)/(12)andtantheta=sqrt(3), then the value of ta...

    Text Solution

    |

  3. If 4sin^(2)theta-3=0andtheta is acute then what is the value of (c...

    Text Solution

    |

  4. Find the value of 8 cos10^(@)cos20^(@)cos40^(@) .

    Text Solution

    |

  5. What is the value of ((cottheta+cosec theta-1))/((cottheta-cosecthe...

    Text Solution

    |

  6. A vertical pole AB is standing at the centre B of a square PQR...

    Text Solution

    |

  7. For how many integral values of x , sinphi=((3x-2))/(4) , where 0...

    Text Solution

    |

  8. Find the value of cot (pi)/(32)-"tan"(pi)/(32)-2"tan"(pi)/(16)

    Text Solution

    |

  9. If sintheta=acosphiandcostheta=b sinphi then the value of (a^(2)-...

    Text Solution

    |

  10. If sec^(2)theta+tan^(2)theta=sqrt(3) , then the value of (sec^(4)...

    Text Solution

    |

  11. If pisintheta=1,picostheta=1, then the value of {sqrt(3)tan((2)/(3)t...

    Text Solution

    |

  12. Find the value of (1)/(1+tan^(2)theta)+(1)/(1+cot^(2)theta)

    Text Solution

    |

  13. If tantheta+(1)/(tantheta)=2 then the value of tan^(2)theta+(1)/(t...

    Text Solution

    |

  14. If in a triangle ABC , sin A =cos B , then the value of cos C ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |