Home
Class 12
MATHS
The most general solution of "tan " thet...

The most general solution of `"tan " theta = -1, "cos" theta = (1)/(sqrt(2))`, is

A

`n pi + (7pi)/(4), n in Z`

B

`n pi + (-1)^(n) (7pi)/(4), n in Z`

C

`2n pi + (7pi)/(4), n in Z`

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

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 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

The most general solution of tan theta=-1 and cos theta=(1)/(sqrt(2))is:

The general solution of the equations tan theta=-1 and cos theta=(1)/(sqrt(2)) is

The general solution of tan theta tan2 theta=1 is

A general solution of tan^(2) theta+ cos 2 theta=1 is (n in Z)

The general solution of the equation sin theta + cos theta = 1 is theta =

The general solution of the equation tan2 theta tan3 theta=1 is

The most general solution of the equation 8"tan"^(2) (theta)/(2) = 1 +"sec" theta, is

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. If y + "cos" theta = "sin" theta has a real solution, then

    Text Solution

    |

  2. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

    Text Solution

    |

  3. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

    Text Solution

    |

  4. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

    Text Solution

    |

  5. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

    Text Solution

    |

  6. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

    Text Solution

    |

  7. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

    Text Solution

    |

  8. If "sec" theta "tan" theta =sqrt(2),"then" theta=

    Text Solution

    |

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

    Text Solution

    |

  10. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

    Text Solution

    |

  11. The number of values of x in [0, 5 pi] satisfying the equation 3"cos" ...

    Text Solution

    |

  12. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

    Text Solution

    |

  13. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

    Text Solution

    |

  14. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

    Text Solution

    |

  15. If 1/6sintheta,costheta,tantheta are in GdotPdot, then theta is equal ...

    Text Solution

    |

  16. Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta +...

    Text Solution

    |

  17. If "sin" 2x, (1)/(2) " and cos" 2x are in A.P., then the general valu...

    Text Solution

    |

  18. The number of points of intersection of the curves 2y =1 " and " y = "...

    Text Solution

    |

  19. For m ne n, if "tan" m theta = "tan" n theta, then different values of...

    Text Solution

    |

  20. cosp theta=cosq theta, p!=q,thetn

    Text Solution

    |