Home
Class 11
MATHS
The solution(s) of the equation sin7x...

The solution(s) of the equation `sin7x+cos2x=-2` is/are `x=(2kpi)/7+(3pi)/(14),\ k in I` (b) `x=npi+pi/4\ k in I` `x=2npi+pi/2,\ k in I` (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

Principal solutions of the equation sin2x+cos2x=0, where pi

The general solution of the equation sin^(110)x-cos^(100)x=1 is 2n pi+(pi)/(3),n in I(b)npi+(pi)/(2),n in In pi+(pi)/(4),n in I(d)2n pi=(pi)/(3),n in I

The general solution of the equation 2^(cos2x)=1=3.2^(-sin^2x) is (A) n pi,n epsilon i (B) (n+1/2) pi, n epsilon I (C) (n- 1/2) pi, n epsilon I (D) none of these

If 0 <= x <= pi, then the solution of the equation 16^(sin^2) x + 16 ^(cos^2) x = 10 is given by x equal to (i) pi/6,pi/3 (ii) pi/3,pi/2 (iii) pi/6,pi/2 (iv) none of these

The value(s) of theta, which satisfy the equation : 2cos^3 3thetatheta+4=3sin^2 3theta is/are (2npi)/3+(2pi)/9,\ n in I (b) (2npi)/3-(2pi)/9,\ n in I\ (2npi)/5+(2pi)/5,\ n in I\ (d) (2npi)/5-(2pi)/5,\ n in I

The general solution ofthe trigonometrical equation sinx+cosx=1 for n=0, +- 1, +-1 is given by (a) x=2npi (b) x=2npi+pi/2 (c) x=npi+(-1)^npi/4-pi/4 (d) non of these

If solution of the equation sin^(4)2x+cos^(4)2x=sin2x*cos2x is of the form (n pi)/(2)+(pi)/(k),n in I, then value of k is

The complete solution of the equation 7cos^(2)x+sin x cos x-3=0 is given by n pi+(pi)/(2);(n in1)( b) n pi-(pi)/(4);(n in I)n pi+(tan^(-1)4)/(3);(n in I)n pi+3 pi,k pi+(tan^(-1)4)/(3);(n,k in I)

The general solution of the equation tanx +sin(pi+x)=2sin^(2)((x)/(2)) is/are (A) n pi,n in I (B) 2n pi,n in I(C)(4n+1)(pi)/(4),n in I(D)n pi+(pi)/(3),n in I

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Given that A ,\ B are positive acute angles and sqrt(3)\ sin2A=sin2B...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 2^1|cosx|+|cosx|^(2 dotx)=4\ \ in\ (-pi,pi)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

    Text Solution

    |

  13. Solve the inequality : tan^2x-(sqrt(3)+1)\ t a n x+sqrt(3)<0

    Text Solution

    |

  14. Find the smallest positive value of x and y satisfying x-y=pi/4 and co...

    Text Solution

    |

  15. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

    Text Solution

    |

  16. Solve that following equations : "tantheta"+"tan"(theta+pi/3)+"tan"(t...

    Text Solution

    |

  17. Find all value of theta, between 0 & pi, which satisfy the equation;...

    Text Solution

    |

  18. Find the general solution of the trigonometric equation sqrt(16cos^4x...

    Text Solution

    |

  19. Find the principal solution of the trigonometric equation sqrt(cot3x +...

    Text Solution

    |

  20. Solve : 2sin(3x+pi/4)=sqrt(1+8sin2x*cos^2 2x)

    Text Solution

    |