Home
Class 11
MATHS
Number of solutions of equation 2"sin"x/...

Number of solutions of equation `2"sin"x/2cos^(2)x-2"sin"x/2sin^(2)x=cos^(2)x-sin^(2)x` for `x` in `[0,4pi]`

A

6

B

8

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -IV (MISCELLAENEOUS STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin^(2)xcos^(2)x=0 is

The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-1)x=pi/2+sin^(-1)x is

The number of solutions of sin^(4)x-cos^(2)xsinx+2sin^(2)x+sinx=0 in 0lexle 3pi is

The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-1)x=(pi)/2+sin^(-1)x is

The equation 2"cos"^(2)x/2sin^(2)x=x^(2)+x^(-2),0ltxle(pi)/2 has

The number of solutions of sin^(2) x cos^(2) x = 1 + cos^(2) x sin^(4) x in the inverval [0, 2 pi] is

The number of solutions of the equation |2 sin x - sqrt(3)|^(2 cos^(2) x - 3 cos x + 1 = 1 [0, pi ] is

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If 2tan theta-cot theta=-1 then theta=

    Text Solution

    |

  2. If tan 5 theta = cot 2 theta " then " theta =

    Text Solution

    |

  3. Number of solutions of equation 2"sin"x/2cos^(2)x-2"sin"x/2sin^(2)x=co...

    Text Solution

    |

  4. Number of roots of cos^(2) x + (sqrt(3) + 1)/( 2) sin x - (sqrt(3))/(4...

    Text Solution

    |

  5. The number of solutions of the equation |2 sin x - sqrt(3)|^(2 cos^(2)...

    Text Solution

    |

  6. The number of real solutions of the equation (cosx)^(5)+(sinx)^(3)=1 i...

    Text Solution

    |

  7. The number of points of intersection of the two curves y = 2 sin x and...

    Text Solution

    |

  8. The number of solutions of the equation 4e^(sinx)-3e^(-sinx)+4=0 in [0...

    Text Solution

    |

  9. If sin^(4)(x//3)+cos^(4)(x//3)gt1//2 then x in

    Text Solution

    |

  10. If 12sinx+5cosx=2y^(2)-8y+21, to get values of x and y is

    Text Solution

    |

  11. If 4 cos theta - 3 sec theta = tan theta, " then " theta =

    Text Solution

    |

  12. If sin^(3) theta cos theta - cos ^(3) theta sin theta = 1 //4 " then "...

    Text Solution

    |

  13. The number of solutions of the equation tan x +sec x = 2 cos x lying ...

    Text Solution

    |

  14. The solution of (sqrt(5) - 1)/(sin x) + (sqrt(10 + 2 sqrt(5)))/(cos x)...

    Text Solution

    |

  15. Number of solutions of the equation 4 ( cos ^(2) 2 x + cos 2 x + 1) + ...

    Text Solution

    |

  16. The number of distinct real roots of the equation tan ( 2 pi x)/( x^(...

    Text Solution

    |

  17. The smallest positive value of x (in radians) satifying the equation l...

    Text Solution

    |

  18. The number of solutions of sin x + sin 2 x + sin 3 x = cos x + cos 2 x...

    Text Solution

    |

  19. The number of solutions of the equation sin ((pi x)/( 2 sqrt(3))) = x^...

    Text Solution

    |

  20. The number of solution of the equation tan^(2)x-sec^(10)x+1=0 in (0,10...

    Text Solution

    |