Home
Class 12
MATHS
If alpha in [-2pi, 2pi] and cos.(alpha)/...

If `alpha in [-2pi, 2pi]` and `cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(cos 36^(@)-sin18^(@))`, then a value of `alpha`

A

`(7pi)/(6)`

B

`(pi)/(6) `

C

`-(5pi)/(6)`

D

`-(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|60 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If (pi)/(2)ltalphalt(2pi)/(3)andl=int_(0)^(sin2alpha)(dx)/(sqrt(4cos^(2)alpha-x^(2))) , then the value of (l+alpha)/(pi) must be__________.

If alpha, betaepsilon(0, pi/2) and if sin^4alpha+4cos^4beta+2=4sqrt2 sinalphacosbeta then the value of cos(alpha+beta)-cos(alpha-beta) is (A) sqrt2 (B) 1/sqrt2 (C) -1/sqrt2 (D) -sqrt2

If 0ltalpha,betaltpi and cos alpha+cos beta -cos(alpha+beta)=(3)/(2) , then the value of sqrt3 sin alpha+cos alpha is equal to

If sin^(4) alpha + 4 cos^(4) beta + 2 = 4sqrt(2) sin alpha cos beta, alpha beta in [0, pi] , then cos (alpha + beta) - cos (alpha - beta) is equal to -sqrt(k) . The value of k is _________.

If alpha and beta be between 0 and (pi)/(2)and if cos(alpha+beta)=(12)/(13) and sin(alpha-beta)=3/5, then sin 2 alpha is equal to

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

If alpha and beta are the solution of sinx=-(1)/(2) in [0, 2pi] and alpha and gamma are the solutions of cos x=-(sqrt3)/(2) in [0, 2pi] , then the value of (alpha+beta)/(|beta-gamma|) is equal to

If 2 sin 2alpha= | tan beta+ cot beta |alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

If sin alpha, sin beta, sin gamma are in AP and cos alpha, cos beta, cos gamma are in GP , then the value of (cos^(2)alpha+cos^(2)gamma+4 cos alpha cos gamma-2 sin alpha sin gamma-2)/(1-2 sin^(2)beta) , where beta != (pi)/(4) , is equal to

if (tanalpha-i(sin ""(alpha)/(2)+cos ""(alpha)/(2)))/(1+2 i sin ""(alpha)/(2)) is purely imaginary then alpha is given by -

ARIHANT MATHS ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (More Than One Correct Option Type Questions)
  1. The equation 2 sin^(3) theta+(2 lambda-3) sin^(2) theta-(3 lambda+2) s...

    Text Solution

    |

  2. If x+y=2pi//3 and sin x//sin y=2, then the

    Text Solution

    |

  3. If 0 lt x lt 2 pi and |cos x| le sin x, then

    Text Solution

    |

  4. If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy...

    Text Solution

    |

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

    Text Solution

    |

  6. The number of solutions of the equations y=1/3[sin theta+[sin theta +[...

    Text Solution

    |

  7. If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi], (where ,[.] denotes th ...

    Text Solution

    |

  8. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |

  9. The number of value of alpha in the interval [-pi,0] satisfying sin...

    Text Solution

    |

  10. Find the number of solution of theta in [0,2pi] satisfying the equatio...

    Text Solution

    |

  11. If alpha and beta are the solution of a cos theta + b sin theta = c...

    Text Solution

    |

  12. The solution of the equation sin 2x + sin 4x = 2 sin 3x is

    Text Solution

    |

  13. One of the general solutions of 4 sin^(4) x+cos^(4) x=1 is

    Text Solution

    |

  14. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

    Text Solution

    |

  15. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  16. The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2...

    Text Solution

    |

  17. For which values of a does the equation 4sin(x+pi/3)cos(x-pi/6)=a^2+sq...

    Text Solution

    |

  18. Which of the following is/are correct?

    Text Solution

    |

  19. If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)...

    Text Solution

    |

  20. If [x] dnote the greatest integer less than or equal to x then the equ...

    Text Solution

    |