Home
Class 12
MATHS
If a=sin, pi/18 sin (5pi)/18 si, (7pi)/1...

If `a=sin, pi/18 sin (5pi)/18 si, (7pi)/18, and x` is the solution of the equation `y=2[x]+2 and y=3[x-2], where [x]` denotes the interal part of x then a= (A) [x] (B) `1/[x]` (C) 2[x] (D) `[x]^2`

A

`[x]`

B

`(1)/([x])`

C

`2[x]`

D

`[x]^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If a=sin\ pi/18 sin\ (5pi)/18 sin\ (7pi)/18, and x is the solution of the equation y=2[x]+2 and y=3[x-2], where [x] denotes the integral part of x then a= (A) [x] (B) 1/[x] (C) 2[x] (D) [x]^2

Principal solutions of the equation sin2x+cos2x=0, where pi

The period of the function f(x)=cos2pi{2x}+ sin2 pi {2x} , is ( where {x} denotes the functional part of x)

Let f(x)=(sin^(101)x)/([(x)/(pi)]+(1)/(2)) , where [x] denotes the integral part of x is

The period of function 2^({x}) +sin pi x+3^({x//2})+cos pi x (where {x} denotes the fractional part of x) is

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

The number of solutions of the equation sin x . Sin 2x. Sin 3x=1 in [0,2pi] is

If x+y=(4pi)/(3) and sin x = 2 sin y , then

If x in[0,(pi)/(2)] then the number of solutions of the equation sin7x+sin4x+sin x=0 is

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If a=sin, pi/18 sin (5pi)/18 si, (7pi)/18, and x is the solution of th...

    Text Solution

    |

  2. If alpha and beta are non-zero real number such that 2(cos beta-cos al...

    Text Solution

    |

  3. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

    Text Solution

    |

  4. The value of sum(k=1)^(13) (1)/(sin(pi/4 + ((k-1)pi)/(6))sin(pi/4 + (k...

    Text Solution

    |

  5. Let f : (-1, 1) -> R be such that f(cos4theta) = 2/(2-sec^2theta for t...

    Text Solution

    |

  6. The number of all possible values of theta, where 0 lt theta lt pi, f...

    Text Solution

    |

  7. For 0 lt theta lt pi/2, the solution (s) of sum(m=1)^(6) cosec (the...

    Text Solution

    |

  8. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  9. Let theta in (0,pi/4) and t1=(tan theta)^(tan theta), t2=(tan theta)6(...

    Text Solution

    |

  10. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

    Text Solution

    |

  11. If 5(tan^2x - cos^2x)=2cos 2x + 9, then the value of cos4x is

    Text Solution

    |

  12. Let fk(x) = 1/k(sin^k x + cos^k x) where x in RR and k gt= 1. Then f4(...

    Text Solution

    |

  13. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  14. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  15. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  16. Let cos (alpha+beta) = 4/5 and sin(alpha-beta)=5/13 where 0<= alpha,...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  18. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  19. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

    Text Solution

    |

  20. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |