Home
Class 11
MATHS
2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=...

`2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=`A)`sqrt2+(3)/(2)` B)`sqrt3+(2)/(3)` C)`sqrt2-(3)/(2)` D)`sqrt3-(2)/(3)`

A

`sqrt2+(3)/(2)`

B

`sqrt3+(2)/(3)`

C

`sqrt2-(3)/(2)`

D

`sqrt3-(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

cos45^(@)cos60^(@)-sin45^(@)sin60^(@)=(sqrt(3-1))/(2sqrt(2))

cos45^(@)cos60^(@)-sin45^(@)sin60^(@)=(sqrt(3)-1)/(2sqrt(2))

tan^(2)((1)/(2)sin^(-1)(2)/(3))= (A) (7+3sqrt(3))/(2) (B) (7-5sqrt(3))/(2) (C) (7-3sqrt(5))/(2) (D) (7+5sqrt(3))/(2)

sin^(-1)((sqrt(3))/(2))+2cos^(-1)((sqrt(3))/(2))

frac(cos60^@ + sin 60^@)(cos60^@- sin 60^@) is equal to (A) -(sqrt3 +2) (B) -1 (C ) (sqrt3 -2) (D) (sqrt3 + 2)

sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

4sin^(3)75^(0)-3cos15^(0)= (1)/(2) (1)/(sqrt(2)) (1)/(sqrt(3)) sqrt(3)

If : sin 40^(@)-cos 70^(@)= k * cos 80^(@), "then" : k = A) sqrt1 B) sqrt2 C) sqrt3 D) sqrt4

(3 + sqrt2)(2-sqrt3)(3-sqrt2)(2+sqrt3)

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. prove that: 4 cot^2(45^ @) - sec^2(60^ @)+ sin^2(30^ @) = 1/8

    Text Solution

    |

  2. [(1-tan^(2)30^(@))div(1+tan^(2)30^(@))]-sin30^(@)=A)-1 B)0 C)1 D)2

    Text Solution

    |

  3. 2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=A)sqrt2+(3)/(2) B)sqrt3+(2)/(3...

    Text Solution

    |

  4. If cos theta=-3//5,"where" piltthetalt(3pi//2), "then" : (cssc theta+...

    Text Solution

    |

  5. If sin theta=3//5,"where" (pi//2)ltthetaltpi, "then" : (sectheta-tant...

    Text Solution

    |

  6. If tan theta=1/sqrt7,then (c o s e c^2theta-sec^2theta)/(c o s e c^2th...

    Text Solution

    |

  7. If sin A=11//61, "where" 0ltAlt(pi//2), "then : (secA+tanA)/(cotA-csc...

    Text Solution

    |

  8. If tan theta=-4//5 and theta is not is the second quadrant, then : cs...

    Text Solution

    |

  9. If cos theta=-1//2 and pi lt theta lt (3pi//2), "then" : 4 tan^(2)the...

    Text Solution

    |

  10. If sec theta=sqrt2, ((3pi)/2) lt theta lt 2pi then find the value of (...

    Text Solution

    |

  11. If 3 tan alpha=4and 180^(@) lt alpha lt 270^(@), "then" : 2 cot alpha...

    Text Solution

    |

  12. If sin theta = 4//5, where pi//2 lt theta lt pi, evaluate : (sec th...

    Text Solution

    |

  13. If tan theta = - 3//5 and theta is not in the second quadrant, find t...

    Text Solution

    |

  14. If x=sin^(2)theta+3 cos theta-2=0, "then" : cos^(3)theta + sec^(3)thet...

    Text Solution

    |

  15. If x= sin^(2)theta* cos theta and y=sin theta cos^(2)theta,"then" :

    Text Solution

    |

  16. If sin x + cos x = sqrt2 * c os x, "then : cos x - sin x = ......A)sq...

    Text Solution

    |

  17. If xsin45^@cos^2(60^@)=(tan^2(60^@)cosec30^@)/(sec45^@cot^2(30^@)), t...

    Text Solution

    |

  18. If tan x + cot x=4, "then" : tan^(4)x+cot^(4)x=......A)110 B)191 C)80 ...

    Text Solution

    |

  19. If 3 sin x + 5 cos x=5, "then" : 5 sin x-3 cos x....A)pm 2 B)pm 3 C)p...

    Text Solution

    |

  20. If tanx=a/b then show that (asinx-bcosx)/(asinx+bcosx)=(a^2-b^2)/(a^2+...

    Text Solution

    |