Home
Class 12
MATHS
If x= npi+(-1)^(n)alpha , n in I and x=...

If ` x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta ` are the roots of ` 4 cos x -3 sec x =tan x `, then `4(sin alpha + sin beta )` is

A

`-1`

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|8 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

Similar Questions

Explore conceptually related problems

alpha and beta are the roots of x^2-x-1=0 and S_n=2023 alpha^n 2024 beta^n then

If alpha,beta are the roots of an equation x^(2)-2x cos theta+1=0 then the equation having alpha^(n) and beta^(n) is

If alpha,beta are the roots of x^(2)-2x+4=0 then alpha^(n)+beta^(n) is

If alpha,beta are the different values of x satisfying a cos x+b sin x=c then tan((alpha+beta)/(2)) is

Let alpha and beta be the roots of x^(2)+x+1=0 If n be positive integer,then alpha^(n)+beta^(n) is

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

    Text Solution

    |

  2. The equation sin x + sin y + sin z = -3 for 0le x le2pi, 0le y le 2pi,...

    Text Solution

    |

  3. If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the root...

    Text Solution

    |

  4. If tan m theta = tan n theta and general value of theta are in AP,...

    Text Solution

    |

  5. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

    Text Solution

    |

  6. lambda cos x - 3 sinx=lambda +1 is solvabel onlyl ,if

    Text Solution

    |

  7. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

    Text Solution

    |

  8. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

    Text Solution

    |

  9. If sin^(100) theta - cos^(100) theta =1 , then theta is

    Text Solution

    |

  10. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

    Text Solution

    |

  11. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

  12. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

    Text Solution

    |

  13. If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the ...

    Text Solution

    |

  14. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

    Text Solution

    |

  15. If the equation cos 3 x cos^(3) x + sin 3 x sin^(3) x =0 , then x is ...

    Text Solution

    |

  16. Total number of solutions of sinx=(|x|)/(10) is equal to

    Text Solution

    |

  17. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

    Text Solution

    |

  18. x(1) and x(2) are two positive value of x for which 2 cos x,|cos x|...

    Text Solution

    |

  19. If cos x-(cot beta sinx )/( 2 )=sqrt(3)/(2) , then the value of tan...

    Text Solution

    |

  20. The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alph...

    Text Solution

    |