Home
Class 11
MATHS
The most general value for which tanthet...

The most general value for which `tantheta=-1costheta=1/(sqrt(2))i s(n in Z)` n`pi+(7pi)/4` (b) `npi+(-1)^n(7pi)/4` `2npi+(7pi)/4` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|136 Videos

Similar Questions

Explore conceptually related problems

The most general value for which tan theta=-1cos theta=(1)/(sqrt(2)) is (n in Z)n pi+(7 pi)/(4) (b) n pi+(-1)^(n)(7 pi)/(4)2n pi+(7 pi)/(4) (d) none of these

A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

If 3tan(theta-15^(@))=tan(theta+15^(0)), then theta is equal to n in Z ) pi pi+(pi)/(4) (b) n pi+(pi)/(8)n pi+(pi)/(3) (d) none of these

Solution of the equation sin(sqrt(1+sin2 theta))=sin theta+cos theta is (n in Z)n pi-(pi)/(4)(b)n pi+(pi)/(12)(c)n pi+(pi)/(6)(d) none of these

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

The general values of theta satisfying the equation 2sin^(2)theta-3sin theta-2=0 is (n in Z).n pi+(-1)^(n)(5)/(6)( b) n pi+(-1)^(n)(pi)/(2)n pi+(-1)^(n)(5 pi)/(6) (d) n pi+(-1)^(n)(7 pi)/(6)

tan {n (pi) / (2) + (- 1) ^ (n) (pi) / (4)} = 1

General solution for |sin x|=cos x is 2n pi+(pi)/(4),n in I(b)2n pi+-(pi)/(4),n in1n pi+(pi)/(4),n in1(d) none of these

For n in Z, the general solution of (sqrt(3)-1)sin theta+(sqrt(3)+1)cos theta=2is(n in Z)theta=2n pi+-(pi)/(4)+(pi)/(12)theta=n pi+(-1)^(n)(pi)/(4)+(pi)/(12)theta=2n pi+-(pi)/(4)theta=n pi+(-1)^(n)(pi)/(4)-(pi)/(12)

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Number of values of 'x'in(-2pi,2pi) satisfying the equation 2^(sin^2)...

    Text Solution

    |

  2. General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-...

    Text Solution

    |

  3. The most general value for which tantheta=-1costheta=1/(sqrt(2))i s(n ...

    Text Solution

    |

  4. If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2...

    Text Solution

    |

  5. If 4\ cos^2theta+sqrt(3)=2(sqrt(3)+1)costheta, then theta is (a) 2npi+...

    Text Solution

    |

  6. Set of values of 'alpha' in [0,\ 2pi] for which m=(log)(("x"+1/"x"))(2...

    Text Solution

    |

  7. (a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" 3/4 (b) 4/3 (c) ...

    Text Solution

    |

  8. The number of solution(s) of the equation cos2theta=(sqrt(2)+1)(cos...

    Text Solution

    |

  9. The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2thet...

    Text Solution

    |

  10. Given that A ,\ B are positive acute angles and sqrt(3)\ sin2A=sin2B...

    Text Solution

    |

  11. The value(s) of theta, which satisfy the equation : 2cos^3 3thetath...

    Text Solution

    |

  12. The solution(s) of the equation sin7x+cos2x=-2 is/are x=(2kpi)/7+(3...

    Text Solution

    |

  13. n|sinx|= m |cos| in [0, 2pi] where n > m and are positive integers

    Text Solution

    |

  14. 2^1|cosx|+|cosx|^(2 dotx)=4\ \ in\ (-pi,pi)

    Text Solution

    |

  15. Statement - I : For any real value of theta!=(2n+1)pior\ (2n++1)pi/...

    Text Solution

    |

  16. Statement - I : The equation sqrt(3)cosx-sinx=2 has exactly one ...

    Text Solution

    |

  17. Statement - I : General solution of (tan4x-tan2x)/(1+tan4xtan2x)=1\...

    Text Solution

    |

  18. Statement - I :The equation sin(cos x) has no real solution. Becaus...

    Text Solution

    |

  19. If sinA=s in Ba n dcosA=cosB , then find the value of A in terms of Bd...

    Text Solution

    |

  20. Solve the equation: 1 + 2 cosecx = -(sec^2 (x/2))/2

    Text Solution

    |