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

The solution(s) of the equation `sin7x+cos2x=-2` is/are (a)`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|149 Videos

Similar Questions

Explore conceptually related problems

If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2n+1)pi/2,\ n in I (c) x=npi+-\ pi/6,\ n in I (d) none of these

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

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

The solutions of the equation 1+(sinx-cosx)sinpi/4=2cos^2(5x)/2 is/are x=(npi)/3+pi/8, n in Z x=(npi)/2+(5pi)/(16), n in Z x=(npi)/3+pi/4, n in Z x=(npi)/2+(7pi)/8, n in Z

General solution of the equatin 1+sin^4 2x=cos^2 6x is (A) (npi)/3 (B) (npi)/2 (C) npi (D) none of these

The general solution of the equation 7cos^2theta+3sin^2theta=4 is theta=2npi+-pi/6,\ n Z b. theta=2npi+-(2pi)/3,\ n Z c. theta=2npi+-pi/3,\ n Z d. none of these

The value(s) of theta, which satisfy the equation : 2cos^3 3theta+4=3sin^2 3theta is/are (a) (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 of the following equation : 2(sinx-cos2x)-sin2x)\ (1+2sinx)+2cosx=0 is/are x=2npi\ ;\ n in I (b) npi+(-1)^n(-pi/2);\ n in I x=npi+(-1)^npi/6;\ n in I x=npi+(-1)^npi/4;\ n in I

The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (n∈N) (a) 2npi (b) (4n+1)pi/2 (c) (2n+1)pi (d) None of these

The general solution of the equation 8cosxcos2xcos4x=(sin6x)/(sin x) is x=((npi)/7)+(pi/(21)),AAn in Z x=((2pi)/7)+(pi/(14)),AAn in Z x=((npi)/7)+(pi/(14)),AAn in Z x=(npi)+(pi/(14)),AAn in Z

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. The equation 4sin^2x-2\ (sqrt(3)+1)sinx+sqrt(3)=0 (a) 2 solution in ...

    Text Solution

    |

  2. If cos^2 2x+2cos^2x=1,\ x in (-pi,pi), then x can take the values : +-...

    Text Solution

    |

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

    Text Solution

    |

  4. Set of values of x in (-pi,\ pi) for which |4 sinx-1|<sqrt(5) is given...

    Text Solution

    |

  5. Find the principal solutions of the equation sin x = -(√3)/2 .

    Text Solution

    |

  6. 2^1|cosx|+|cosx|^(2 dotx)=4\ \ in\ (-pi,pi)

    Text Solution

    |

  7. The solution of tantheta+tan2theta+tan3theta=tanthetatan2thetatan3thet...

    Text Solution

    |

  8. Find the domain of the following real valued functions of real variab...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Evaluate the value of sin ((11π)/12).

    Text Solution

    |

  12. Let S1 be the set of all those solutions of the equation (1+a)costhe...

    Text Solution

    |

  13. If cotθ+cosecθ=5 , find cosθ.

    Text Solution

    |

  14. The number of solutions of the pair of equations 2sin^2theta−cos2th...

    Text Solution

    |

  15. Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x...

    Text Solution

    |

  16. Consider the system of equations sinx.cos2y=(a^2−1)^2+1, cosx.sin2y=a ...

    Text Solution

    |

  17. The number of ordered triplets of positive integers which are solution...

    Text Solution

    |

  18. If sinA=sin B and cosA=cosB , then find the value of A in terms of Bdo...

    Text Solution

    |

  19. Solve the equation 1+ 2 "cosec" x =(-sec^(2)""(x)/(2))/(2)

    Text Solution

    |

  20. Solve the equation : cot x=2 , sin2x=1

    Text Solution

    |