Home
Class 12
MATHS
If sec x cos 5x+1=0 , where 0lt x ltπ/...

If ` sec x cos 5x+1=0 `, where ` 0lt x ltπ/2`, then x=

A

`(pi)/(6),(pi)/(4)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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 Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

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

If y=sec^(-1)(sqrt(1+x^(2))) , when -1 lt x lt 1, then find (dy)/(dx)

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

cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0 , then find the value of sin2α is:

If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0 , where 0 lt theta lt (pi)/2 . Then lim_(theta to 0^(+))(1/(alpha)+1/(beta)) is

The value of sin^(-1) {( sin. pi/3) x/sqrt((x^(2) + k^(2) - kx))} - cos^(_1) {( cos. pi/6) x/sqrt((x^(2) + k^(2) - kx))}" , where" (k/2 lt x lt 2k, k gt 0) is

Let y = sin^(-1) ((2x)/(1 + x^2)) where 0 lt x lt 1 and 0 lt y lt pi//2 then (dy)/(dx) is equal to

If f(x) is continuous at x = 0 , find a, where f(x) = {{:((1 - cos ax)/(x sin x)"," , x != 0),(1/2",", x = 0 ):}

Disuss the continuity of the function f where f is defined by f(x) {{:(3 if 0 le x le 1 ),(4 if 1 lt x lt 3 ),(5 if 3 le x le 10 ):}

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

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

    Text Solution

    |

  3. If e^[(sin^(2)x+sin^(4) x +sin^(6)x+.... oo) loge2] satisfies the equ...

    Text Solution

    |

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

    Text Solution

    |

  5. Solve : cos 3x. Cos^(3)x+sin 3x.sin^(3)x=0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. alpha and beta are two positive value of x for which 2 cos x,|cos x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The value of the determinants |{:(1,a,a^(2)),(cos(n-1)x,cos nx , cos(n...

    Text Solution

    |

  12. If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

    Text Solution

    |

  13. If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin...

    Text Solution

    |

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

    Text Solution

    |

  15. If sec x cos 5x+1=0 , where 0lt x ltπ/2, then x=

    Text Solution

    |

  16. If |k|=5 and 0^(@) le theta le 360^(@) , then the number of different...

    Text Solution

    |

  17. If "cot"(alpha+beta=0, then "sin"(alpha+2beta can be

    Text Solution

    |

  18. If : cot theta + cot((pi)/4 + theta) = 2, then : theta =

    Text Solution

    |

  19. If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))), then the valu...

    Text Solution

    |

  20. Evaluate int(sin^2x + cos^2x)dx

    Text Solution

    |