Home
Class 12
MATHS
Find the general values of theta which ...

Find the general values of `theta ` which satisfies the equation ` tan theta =-1 and cos theta =(1)/(sqrt(2))`

A

`n pi + (7pi)/(4)`

B

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

C

`2 n pi+(7pi)/(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

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|20 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Find the most general value of theta which satisfies the equation sin theta =-(1)/(2) and tan theta =(1)/(sqrt(3))

Find the most general value of theta which satisfies the equation sin theta =(1)/(2) and tan theta =(1)/(sqrt(3))

Find the general value of theta which satisfies the equation sin ^(2) theta = (3)/(4).

What is the general value of theta which satisfies both the equations sin theta =- (1)/(2) and cos theta = - (sqrt3)/(2) ?

Find the most general values of theta satisfying the equation : sin theta = -1

Find the most general values of theta satisfying the equation : tan theta = - sqrt(3)

Find the general value of theta 2 sin theta - 1 =0

Find general value of theta which satisfies both sin theta = -1//2 and tan theta=1//sqrt(3) simultaneously.

The number of values of theta in [0, 2pi] that satisfies the equation sin^(2)theta - cos theta = (1)/(4)

Find the general value of theta 4 sin ^(2) theta =1

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The general solution of the trigonometric equation sinx+cosx=1 is give...

    Text Solution

    |

  2. If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between ...

    Text Solution

    |

  3. Find the general values of theta which satisfies the equation tan th...

    Text Solution

    |

  4. The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" th...

    Text Solution

    |

  5. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

    Text Solution

    |

  6. The equaltion a sin x+b cos x=c, where |c|gtsqrt(a^(2)+b^(2)) has

    Text Solution

    |

  7. If alpha is a root of 25"cos"^(2) theta+ 5"cos" theta-12 = 0, (pi)/(2)...

    Text Solution

    |

  8. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

    Text Solution

    |

  9. The number of solutions of 2"cos"^(2)((x)/(2))"sin"^(2) x =x^(2) + (1)...

    Text Solution

    |

  10. If A and B are acute positive angles satisfying the equations 3 sin^(2...

    Text Solution

    |

  11. The equation "sin" theta = x +(p)/(x) for real values of x is possible...

    Text Solution

    |

  12. If sin A = sin B and cos A= cos B, then find the value of a in terms o...

    Text Solution

    |

  13. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

    Text Solution

    |

  14. If (1+tantheta)(1+tanphi)=2, then theta + phi=

    Text Solution

    |

  15. The general solution of "tan" 3x =1, is

    Text Solution

    |

  16. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

    Text Solution

    |

  17. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

    Text Solution

    |

  18. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

    Text Solution

    |

  19. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

    Text Solution

    |

  20. If the the equation a sin x + cos 2x=2a-7 possesses a solution, then f...

    Text Solution

    |