Home
Class 11
MATHS
IF 2 sin ( theta +(pi)/(3)) = cos ...

IF ` 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)),` then ` tan theta =`

A

`sqrt3`

B

`-(1)/(sqrt3)`

C

`(1)/(sqrt3)`

D

`-sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|60 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If 2sin(theta+(pi)/(3))=cos(theta-(pi)/(6)) then tan theta =

If 2 sin(theta+(pi)/(3))=cos(theta-(pi)/(6)) , then tantheta =

If quad sin (theta + (7 pi) / (12)) + sin (theta- (pi) / (12)) + sin (theta + (3 pi) / (12)), Y = cos (theta + (7 pi) / (12)) + cos (theta- (pi) / (12)) + cos (theta + (3 pi) / (12)) then prove that (X) / (Y) - (Y) / (X) = 2tan2 theta

For theta in(0,(pi)/(2)), the maximum value of sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is attained at theta=

Prove that sin(theta-(pi)/(6))+cos(theta-(pi)/(3))=sqrt(3)sin theta

The maximum value of sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is attained at theta in(0,(pi)/(2))

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

If cos(theta_(1)-(pi)/(4))+sin(theta_(2)+(pi)/(2))+cos(theta_(3)-(pi)/(3))+3=0 , then tan theta_(1)+tan theta_(2)+tan theta_(3) is: (where theta_(1),theta_(2),theta_(3)in(0,2 pi))

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -COMPETITIVE THINKING
  1. Prove that (i) " cos " ((pi)/(4) + x) + " cos " ((pi)/(4)- x) =s...

    Text Solution

    |

  2. IF 2 sin ( theta +(pi)/(3)) = cos (theta -(pi)/(6)), then ta...

    Text Solution

    |

  3. The value of cos 15^(@) - sin 15^(@) is equal to

    Text Solution

    |

  4. If sintheta=(12)/(13),(0ltthetalt(pi)/(2))and cosphi=-(3)/(5),(piltph...

    Text Solution

    |

  5. If pi/2 lt alpha lt pi, pi lt beta lt 3pi/2; sin alpha = 15/17 and tan...

    Text Solution

    |

  6. If tan(A+B) =p and tan (A + B)=q , then write the value of tan 2B.

    Text Solution

    |

  7. If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie betwee...

    Text Solution

    |

  8. If cos(A-B)=3/5 and tanAtanB=2 then

    Text Solution

    |

  9. If sintheta=3sin(theta+2alpha), then the value of tan(theta+alpha)+2...

    Text Solution

    |

  10. If t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...

    Text Solution

    |

  11. If y = (1 + tan A) (1 - tan B), where A -B=pi/4 then (y+ 1)^(y + 1) is...

    Text Solution

    |

  12. cot(pi/4+theta)cot(pi/4-theta)"i s"

    Text Solution

    |

  13. A positive acute angle is divided into two parts whose tangents are 1/...

    Text Solution

    |

  14. If cosP=1/7 and cosQ=13/14, whera P and Q both are acute angles. Then ...

    Text Solution

    |

  15. If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

    Text Solution

    |

  16. if tantheta1=kcottheta2 then find cos(theta1-theta2)/cos(theta1+theta2...

    Text Solution

    |

  17. (cos 17^(@) + sin 17^(@))/(cos 17^(@) - sin 17^(@))=

    Text Solution

    |

  18. Prove that (cos 9^(@)+ sin 9^(@))/(cos 9^(@) -sin 9^(@)) = tan 54^...

    Text Solution

    |

  19. If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha), then

    Text Solution

    |

  20. cos^2 4 5^(@)-sin^2 1 5^(@)=

    Text Solution

    |