Home
Class 12
MATHS
Find the most general solution of 2^1|co...

Find the most general solution of `2^1|cosx|+cos^2x+|cosx|^(3+oo)=4`

A

`x = n pi +- (pi)/(3), n in Z`

B

`x = 2n pi +- (pi)/(3), n in Z`

C

`x = 2n pi + (2pi)/(3), n in Z`

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

    OBJECTIVE RD SHARMA|Exercise Exercise|66 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA|Exercise Exercise|22 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Find the most general solution of 2^(1|cos x|+cos^(2)x+|cos x|^(3)+...oo)=4

General solution of cosx=1 is

Find the general solution of : cosx-sinx=-1

Find the general solution of : cosx+sinx=1

Find the general solutions of cos 2x = 1.

Find the general solution of x,cos^(2)2x+cos^(2)3x=1

General solution of cosx-sinx=1 is

The solution of |cosx|= cosx-2sinx is

General solution of cos2x+3cosx=0 is

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. Find the minimum value of 2^("sin" x) + 2^("cos" x)

    Text Solution

    |

  2. From the identity "sin" 3x = 3 "sin"x - 4"sin"^(3)x it follows that if...

    Text Solution

    |

  3. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

    Text Solution

    |

  4. Let alpha, beta be any two positive values of x for which 2"cos"x, |"c...

    Text Solution

    |

  5. If underset(x in R)("Max") {5 "sin"x + 3 "sin" (x-theta)} =7, "then "t...

    Text Solution

    |

  6. The most general value of theta for which "sin" theta-"cos" theta = ...

    Text Solution

    |

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

    Text Solution

    |

  8. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

    Text Solution

    |

  9. The largest positive solution of 1+"sin"^(4) x = "cos"^(2) 3x " in " [...

    Text Solution

    |

  10. The set of values of x in (-pi, pi) satisfying the inequation |4"sin" ...

    Text Solution

    |

  11. If theta in [0,5pi]a n dr in R such that 2sintheta=r^4-2r^2+3 then th...

    Text Solution

    |

  12. If rsintheta=3, r=4(1+sintheta) where 0<=theta<=2pi then theta e...

    Text Solution

    |

  13. The solution set of the inequation "log"(1//2) "sin" x gt "log"(1//...

    Text Solution

    |

  14. If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a re...

    Text Solution

    |

  15. The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution...

    Text Solution

    |

  16. If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 ...

    Text Solution

    |

  17. The general value of theta satisfying tantheta tan(120^@-theta) tan(12...

    Text Solution

    |

  18. The solution of the equation "log"("cos"x) "sin" x + "log"("sin"x) "...

    Text Solution

    |

  19. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

    Text Solution

    |

  20. One root of the equation "cos" theta-theta + (1)/(2) = 0 lies in the i...

    Text Solution

    |