Home
Class 11
MATHS
If 3sintheta=2costheta then the value of...

If `3sintheta=2costheta` then the value of `sin2theta` is …………..

A

`(12)/(13)`

B

`(5)/(13)`

C

`(4)/(5)`

D

`(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|33 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|19 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|122 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

If sintheta+costheta=1 , then the value of sin(2theta) is

If costheta = 3/5 then what is the value of sin2theta ?

If sintheta+cosectheta=2 , then the value of sin^8theta+cosec^8theta is

If one of the roots of 25cos^(2)theta+5costheta-12=0 is alpha then the value of sin2theta is ……….. ((pi)/(2)ltthetaltpi) .

If sin theta+cosec theta=2, "then the value of " sin ^(10)theta+cosec^(10)theta, is

If sintheta+costheta=1 , then find the general value of theta .

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

A line makes the same angle theta with X-axis and Z-axis. If the angle beta , which it makes with Y-axis, is such that sin^2(beta)=3sin^2theta , then the value of cos^2(theta) is

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

if sin2theta=pi/2 and costheta=pi/3 then what is the value of sintheta

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -TEXTBOOK BASED MCQS
  1. If cosalpha=-0.6andpiltalphalt(3pi)/(2) then tan((alpha)/(4)) = ………..

    Text Solution

    |

  2. If tanx=(b)/(a) then acos(2x)+bsin(2x) = ……….

    Text Solution

    |

  3. If cosA=(3)/(4) then 32sin((A)/(2))sin((5A)/(2)) = ……………

    Text Solution

    |

  4. sqrt(2+sqrt(2+2cos4theta))= …………

    Text Solution

    |

  5. If tan^(2)theta=2tan^(2)phi+1 then the value of cos(2theta)+sin^(2)phi...

    Text Solution

    |

  6. If tan""(alpha)/(2)andtan""(beta)/(2) are roots of the equation 8x^(2)...

    Text Solution

    |

  7. If tan(picostheta)=cot(pisintheta) then the value of cos(theta-(pi)/(4...

    Text Solution

    |

  8. The number of solutions of the equation 3sin^(2)x-7sinx+2=0 in [0,5pi]...

    Text Solution

    |

  9. The general solution of the equation sin^(50)x-cos^(50)x=1 is …………

    Text Solution

    |

  10. The solution set of cos2theta=cos^(2)theta-sin^(2)theta is …………

    Text Solution

    |

  11. The number of points of intersection of the graphs 2y=1 and y=sinx,-2p...

    Text Solution

    |

  12. The real solutions of the equation cos^(7)x+sin^(4)x=1 in (-pi,pi) are...

    Text Solution

    |

  13. The solution set of sintheta+costheta=2 is ………

    Text Solution

    |

  14. If 3sintheta=2costheta then the value of sin2theta is …………..

    Text Solution

    |

  15. tan^(6)40^(@)-33tan^(4)40^(@)+27tan^(2)40^(@) = …………

    Text Solution

    |

  16. theta(1),theta(2)in[0,2pi]andtheta(1) and theta(2) satisfy the equatio...

    Text Solution

    |

  17. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) then (tanx)/(tany) = …………

    Text Solution

    |

  18. Trigonometric point P((101pi)/(3)) lies in………quadrant.

    Text Solution

    |

  19. If cos(alpha+beta)=(4)/(5),sin(alpha-beta)=(5)/(13),0ltalpha,betalt(pi...

    Text Solution

    |

  20. The number of solutions of the equation 16^(sin^(2)x)+16^(cos^(2)x)=10...

    Text Solution

    |