Home
Class 12
MATHS
sin(pi/3-sin^(-1)(-1/2))is equal to(A) 1...

`sin(pi/3-sin^(-1)(-1/2))`is equal to(A) `1/2` (B) `1/3` (C) `1/4` (D) 1

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)(0) is equal to : (a) 0 (b) pi/6 (c) pi/2 (d) pi/3

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

The value of tan^(-1)(1)+cos^(-1)(-(1)/(2))+sin^(-1)(-(1)/(2)) is equal to (pi)/(4)b*(5 pi)/(12)c*(3 pi)/(4)d.(13 pi)/(12)

(lim)_(x rarr)(sin^(4)x-sin^(2)x+1)/(cos^(4)x-cos^(2)x+1) is equal to (a) 0( b) 1 (c) (1)/(3)(d)(1)/(2)

sin^(-1)(1-x)-2sin^(-1)x=(pi)/(2), then x is equal to (A)0,(1)/(2)(B)1,(1)/(2)(C)0(D)(1)/(2)

If z_(k)=cos((k pi)/(10))+i sin((k pi)/(10)), then z_(1)z_(2)z_(3)z_(4) is equal to (A)-1 (B) 2(C)-2 (D) 1

int_(-pi//2)^(pi//2)"sin"|x|dx is equal to 1 (b) 2 (c) -1 (d) -2

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Evaluation Test
  1. sin(pi/3-sin^(-1)(-1/2))is equal to(A) 1/2 (B) 1/3 (C) 1/4 (D) 1

    Text Solution

    |

  2. If the equation cos3xcos^(3)x+sin3xsin^(3)x=0, then x is equal to

    Text Solution

    |

  3. The values of x between 0 and 2pi which satisfy the equation sinxsqrt(...

    Text Solution

    |

  4. Total number of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10" in "[0,2p...

    Text Solution

    |

  5. Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi

    Text Solution

    |

  6. Find the total number of solution of sin^(4)x+cos^(4)x=sinxcosx" in "[...

    Text Solution

    |

  7. The equation tan^4x-2sec^2x+a=0 will have at least one solution if 1<a...

    Text Solution

    |

  8. If tanalpha=(1)/(2)and3cosx+4sinx=5, then x is equal to

    Text Solution

    |

  9. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

    Text Solution

    |

  10. In a Delta ABC, if tan.(A)/(2)=(5)/(6), tan.(B)/(2)=(20)/(37), then wh...

    Text Solution

    |

  11. In a A B C ,A=(2pi)/3,b-c=3sqrt(3)c m and area ( A B C)=(9sqrt(3))/2c...

    Text Solution

    |

  12. If the angles of a triangle are 30^0a n d45^0 and the included side is...

    Text Solution

    |

  13. In triangleABC, If (b+c)/(11)=(c+a)/(12)=(a+b)/(13), then cosC=

    Text Solution

    |

  14. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  15. If the area of the circle is A1 and the area of the regular pentagon i...

    Text Solution

    |

  16. In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...

    Text Solution

    |

  17. Given b = 2, c = sqrt3, angle A = 30^(@), then inradius of DeltaABC is

    Text Solution

    |

  18. If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then :...

    Text Solution

    |

  19. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

    Text Solution

    |

  20. If tan.(A)/(2)andtan.(B)/(2) are the roots of the quadratic equation 6...

    Text Solution

    |

  21. If a triangle is right angled at B, then the diameter of the incircle ...

    Text Solution

    |