Home
Class 12
MATHS
If "cos 3x + "sin" (2x - (7pi)/(6)) =-2,...

If `"cos 3x + "sin" (2x - (7pi)/(6)) =-2`, then x =

A

`pi/3(6m-1)`

B

`pi/3(6m+1)`

C

`pi/3(2m+1)`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 5

    KVPY PREVIOUS YEAR|Exercise EXERCISE|24 Videos

  • MOCK TEST 7

    KVPY PREVIOUS YEAR|Exercise EXERCISE|16 Videos

Similar Questions

Explore conceptually related problems

If cos3x+sin(2x-(7 pi)/(6))=-2, then x is equal to (k in Z)(pi)/(3)(6k+1)( b) (pi)/(3)(6k-1)(pi)/(3)(2k+1)( d ) none of these

Find x cos3x+sin(2x-(7 pi)/(6))=-2

If f (X) = 2 sin 3 x + 3 cos 3 x , then at x = ( 5 pi)/( 6) , f (x) is

The solution set of "sin" (x - (pi)/(4))-"cos" (x + (3 pi)/(4)) =1 " and " (2 "cos" 7x)/("cos" 3 + "sin" 3) gt 2^("cos" 2x) , is

(cos (pi + x) cos (-x)) / (sin (pi-x) cos ((pi) / (2) -x)) = cot ^ (2) x

If f (x) = sqrt(cos ec ^(2) x - 2 sin x cos x - (1)/(tan ^(2) x )) x in ((7pi)/(4), 2pi ) then f' ((11 pi)/(6))=

If y = sqrt((cos x - sin x)(sec 2x + 1)(cos x + sin x)) , Then (dy)/(dx) at x = (5 pi)/(6) is :

lim_ (x rarr (pi) / (6)) (2 (sin x cos ((pi) / (6)) - cos x sin ((pi) / (6)))) / (x- (pi) / (6))

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0

KVPY PREVIOUS YEAR-MOCK TEST 6-EXERCISE
  1. An eppipse of eccentricity (2sqrt2)/(3) is inscribed in a circle and a...

    Text Solution

    |

  2. "sin"^(-1)("sin" 5)>x^2-4x holds if

    Text Solution

    |

  3. A is one of the 6 horses entered for a race and is to be ridden by one...

    Text Solution

    |

  4. Let coordinates of the points A and B are (5, 0 ) and (0, 7) respectiv...

    Text Solution

    |

  5. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

    Text Solution

    |

  6. Solve log(3)(x+2)(x+4)+log(1//3)(x+2) lt 1/2 log(sqrt3)7.

    Text Solution

    |

  7. If k in I such that underset(nrarroo)(lim)(cos.(kpi)/(4))^(2n)-(cos.(k...

    Text Solution

    |

  8. On the set N of all natural numbers define the rational R by aRb iff t...

    Text Solution

    |

  9. Prove that for n=1, 2, 3... [(n+1)/2]+[(n+2)/4]+[(n+4)/8]+[(n+8)/16]+...

    Text Solution

    |

  10. The system of homogenous equations tx+(t+1)y+(t-1)z=0, (t+1)x+ty+(t+...

    Text Solution

    |

  11. Let f(x)a n dg(x) be bijective functions where f:{1, b , c , d}vec{1,2...

    Text Solution

    |

  12. Let omega be a complex cube root unity with omega!=1. A fair die is th...

    Text Solution

    |

  13. Let I= underset(pi//4)overset(pi//3)int (sinx)/x dx, then I belongs to

    Text Solution

    |

  14. The area between the curves y = 2x^4-x^2, the x-axis and the ordinates...

    Text Solution

    |

  15. f(x)={:{(2-,|x^(2),+,5x,+,6|",",xne-2),(a^(2),+1",",x=-2):},then the r...

    Text Solution

    |

  16. If f is the centre of a circle inscribed in a triangle ABC, then |vec...

    Text Solution

    |

  17. The number of numbers, that can be formed by using all digits 1,2, 3, ...

    Text Solution

    |

  18. If sum of two numbers is 3, then maximum value of the product of first...

    Text Solution

    |

  19. Suppose that f is a differentiable function with the property that f(x...

    Text Solution

    |

  20. consider the expression 3^(sin^6 x)+3^(cos^6 x) find the minimum value...

    Text Solution

    |