Home
Class 11
MATHS
If 0 lt theta lt pi//2 and 2 sin theta =...

If `0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(@) , `then ` theta = `

A

`70^(@)`

B

`50^(@)`

C

`60^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - II|40 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|46 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos
  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

If sqrt(3) cos theta + sin theta = sqrt(2) , then theta =

If 0 lt theta lt pi//4 , " then " sqrt(2+sqrt(2+2cos 4 theta ))=

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

If r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta le 2pi , then theta =

If 180^(@) lt theta lt 270^(@) and sin theta = -5//13 then 5 cot^(2) theta + 12 tan theta + 13 "cosec" theta =

For 0 lt theta lt 2pi, sin^(-1)(sintheta) gt cos^(-1)(sintheta) is true when

AAKASH SERIES-COMPOUND ANGLES-EXERCISE - I
  1. Sin 40^(@) 25^(1) 19^(@)35^(1) + Cos40^(@) 25^(1).Sin19^(@) 35^(1)=

    Text Solution

    |

  2. cos(n+1) alpha * cos(n-1)alpha + sin (n+1)alpha * sin (n-1) alpha =

    Text Solution

    |

  3. If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(...

    Text Solution

    |

  4. (Tan225^(@)-Cot81^(@).Cot69^(@))/(Cot261^(@)+Tan21^(@))=

    Text Solution

    |

  5. If tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) ta...

    Text Solution

    |

  6. If Tantheta=(Cosalpha-Sinalpha)/(Cosalpha+Sinalpha)andtheta is acute t...

    Text Solution

    |

  7. If tan (A+B)=p , tan (A-B)=q , " then " cot 2B=

    Text Solution

    |

  8. If tan A + tan B=p and cot A+ cot B=q then cot (A+B)=

    Text Solution

    |

  9. Tan75^(@) - Cot75^(@) =

    Text Solution

    |

  10. "cosec" 15^(@) + sec 15^(@) =

    Text Solution

    |

  11. Prove that sin^(2)52 1/2-sin^(2)22 1/2.

    Text Solution

    |

  12. cos^(2)(""(pi)/(6) + theta ) -sin^(2)""((pi)/(6) - theta ) =

    Text Solution

    |

  13. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

    Text Solution

    |

  14. If tan 69^(@) + tan 66^@ - tan 69^(@) tan66^@=2k , then the value of ...

    Text Solution

    |

  15. Find the value of tan 100^(@)+tan125^(@)+tan 100^(@). Tan 125^(@).

    Text Solution

    |

  16. (tan80^(@)-tan10^(@))/(tan70^(@))

    Text Solution

    |

  17. ((1+Tan33^(@))(1+Tan12^(@)))/((1+Tan18^(@))(1+Tan27^(@)))=

    Text Solution

    |

  18. If A+B=225^(@) than prove that (cot A)/(1+cotA). (cot B)/(1+cotB)=(1)/...

    Text Solution

    |

  19. If A+B = 135^(@) then (1-TanA) (1- TanB) =

    Text Solution

    |

  20. (1-Cot200^(@))(1-Cot25^(@)) =

    Text Solution

    |