Home
Class 10
MATHS
If sqrt(3) tan theta=3 sin theta and the...

If `sqrt(3) tan theta=3 sin theta` and `theta!=0` then find the value of `sin^(2)theta-cos^(2)theta`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (LONG ANSWER QUESTIONS)|13 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|9 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-I)|6 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos

  • MID TERM TEST PAPER

    VK GLOBAL PUBLICATION|Exercise SECTION -D|7 Videos

Similar Questions

Explore conceptually related problems

If sqrt(3)tan theta=1 then find value of sin^(2)theta-cos^(2)theta

If 2sin^(2)theta+5sin theta-3=0 then find the value of tan^(4)theta+tan^(2)theta+9

If sin^(2)theta+3cos theta=2, then find value of cos^(3)theta+sec^(3)theta:

If sqrt(3) tan theta = 3 sin theta , the value of sec theta is …..

If 3cos theta=1, find the value of (6sin^(2)theta+tan^(2)theta)/(4cos theta)

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

If 2sin^(2)theta=3cos theta, where 0<=theta<=2 pi, then find the value of theta

sin theta+cos theta=sqrt(3)cos theta then find the value of cos theta-sin theta is

If 3cos theta-4sin theta=2cos theta+sin theta then find tan theta

VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. If theta=30o , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

    Text Solution

    |

  2. If theta=30o , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

    Text Solution

    |

  3. If A = 30^(@) and B = 60^(@) , verify that cos (A + B) = cos A cos B -...

    Text Solution

    |

  4. If A = 30^(@) and B = 60^(@), verify that sin (A + B) = sin A cos B + ...

    Text Solution

    |

  5. If cottheta=(15)/8,t h e ne v a l u a t e((2+2sintheta)(1-sintheta)/((...

    Text Solution

    |

  6. If sectheta=x+1/(4x),p rov et h a t :sectheta+tantheta=2xor ,1/(2x)

    Text Solution

    |

  7. If sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of s...

    Text Solution

    |

  8. If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ ...

    Text Solution

    |

  9. If sintheta=(a^2-b^2)/(a^2+b^2) then find 1+tantheta*costheta.

    Text Solution

    |

  10. If costheta +sin theta= sqrt(2)cos theta, then prove that costheta-sin...

    Text Solution

    |

  11. Find the value of x sqrt(3) sin x = cos x

    Text Solution

    |

  12. If tan x = sin45^(@) cos 45^(@) + sin 30^(@) then x is equal to

    Text Solution

    |

  13. sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1

    Text Solution

    |

  14. tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

    Text Solution

    |

  15. Prove that : tan^(4)theta + tan^(2)theta = sec^(4)theta - sec^(2) th...

    Text Solution

    |

  16. Prove that (tan A)/((1-cot A))+(cot A)/((1-tan A))=(1+ tan A+cot A).

    Text Solution

    |

  17. (1+cot A-csc A)(1+tan A+sec A)" is equal to "

    Text Solution

    |

  18. Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin thet...

    Text Solution

    |

  19. Prove (cosec theta -cot theta)^2=(1-cos theta)/(1+cos theta)

    Text Solution

    |

  20. Prove that: (sin theta - 2 sin^(3) theta) = (2cos^(3) theta - cos the...

    Text Solution

    |