Home
Class 12
MATHS
The number of x in [0, 2pi] for which |s...

The number of `x in [0, 2pi]` for which `|sqrt(2"sin"^(4)x + 18"cos"^(2) x) -sqrt(2"cos"^(4)x + 18"sin"^(2)x)|`= 1, is

A

2

B

6

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-1|70 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

The number of values of x in (0, pi) satisfying the equation (sqrt(3) "sin" x + "cos" x) ^(sqrt(sqrt(3)"sin" 2x -"cos" 2x+ 2)) = 4 , is

The values of x in (0, pi) satisfying the equation. |{:(1+"sin"^(2)x, "sin"^(2)x, "sin"^(2)x), ("cos"^(2)x, 1+"cos"^(2)x, "cos"^(2)x), (4"sin" 2x, 4"sin"2x, 1+4"sin" 2x):}| = 0 , are

Prove that sqrt(sin^4x+4cos^2x)-sqrt(cos^4x+4sin^2x)=cos2xdot

The number of values of x in [0, 4 pi] satisfying the inequation |sqrt(3)"cos" x - "sin"x|ge2 , is

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

Find the value of x in [-pi,pi] for which f(x)=sqrt(log_(2)(4sin^(2)x-2sqrt(3)sin x-2sin x+sqrt(3)+1)) is defined.

The value of x in (0,(pi)/(2)) satisfying (sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4sqrt(2) is / are

The number of solutions for the equation 2 sin^(-1)(sqrt(x^(2) - x + 1)) + cos^(-1)(sqrt(x^(2) - x) )= (3pi)/(2) is

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
  1. The number of x in [0, 2pi] for which |sqrt(2"sin"^(4)x + 18"cos"^(2) ...

    Text Solution

    |

  2. The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (...

    Text Solution

    |

  3. Solve the inequality, cosxle-1/2.

    Text Solution

    |

  4. Two men are on the opposite sides of a tower. They measure the angles ...

    Text Solution

    |

  5. The range of vlaues of the expression 5 cos theta + 3 cos (theta + (pi...

    Text Solution

    |

  6. The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is

    Text Solution

    |

  7. Which pairs of function is identical ?

    Text Solution

    |

  8. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

  9. If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...

    Text Solution

    |

  10. Period of sin theta - sqrt2 cos theta is

    Text Solution

    |

  11. tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=

    Text Solution

    |

  12. Which of the following is correct ?

    Text Solution

    |

  13. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  14. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  15. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

    Text Solution

    |

  16. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

    Text Solution

    |

  17. A man observe that was he has climbed up 1/3 of the length of an incli...

    Text Solution

    |

  18. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

    Text Solution

    |

  19. If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...

    Text Solution

    |

  20. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

    Text Solution

    |

  21. The range of f(x) = cos x - sin x is

    Text Solution

    |