Home
Class 11
MATHS
General solution of the equation a Cos x...

General solution of the equation a Cos x + b Sinx = c when a, b, `c in R` such that `a^(2) + b^(2) ne 0` and `a + c ne 0`

Text Solution

Verified by Experts

The correct Answer is:
`2npi + 2 alpha, n in z(i=1, 2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Examples|4 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Additional Solved Examples|6 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

Evaluate int (1)/(a sin x+ b cos x) dx where a, b in R and a^(2) +b^(2)ne 0 on R.

If alpha, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that cos alpha cos beta = (c^(2) - b^(2))/(a^(2) + b^(2))

If alpha, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that sin alpha sin beta = (c^(2)-a^(2))/(a^(2) + b^(2))

If alpha, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that cos alpha + cos beta = (2ac)/(a^(2) + b^(2))

If alpha, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that sin alpha + sin beta = (2bc)/(a^(2) + b^(2))

AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Practice Exercise
  1. General solution of the equation a Cos x + b Sinx = c when a, b, c in ...

    Text Solution

    |

  2. The principal solution of costheta=-(sqrt(3))/(2) is

    Text Solution

    |

  3. The set of values of x for which (tan5x-tan4x)/(1+tan5xtan4x)=1 is

    Text Solution

    |

  4. The principal solution of tantheta=sqrt(3)-2 is

    Text Solution

    |

  5. If 3tantheta=cot theta then theta =

    Text Solution

    |

  6. If sin theta.sin (60+theta)sin (60-theta)=1//4 then theta =

    Text Solution

    |

  7. If 4 cos theta.cos(120^(@)+theta).cos(120^(@)-theta)=1//2 then theta =

    Text Solution

    |

  8. The values of theta satisfying cosec theta + 2 = 0 in (0, 2pi) are

    Text Solution

    |

  9. If x is acute and sin(x+10^(@))=cos(3x-68^(@)) then find x .

    Text Solution

    |

  10. The general solution of tan(3theta)=1 is

    Text Solution

    |

  11. The general solution of tan theta tan 2theta=1 is

    Text Solution

    |

  12. If tan(2theta)=cottheta implies theta=(ninz)

    Text Solution

    |

  13. The solution set of sin 3 theta = (sqrt(10 + 2sqrt(5)))/(4) is

    Text Solution

    |

  14. If sin(theta-25^(@))=-(sqrt(3))/(2) then theta =

    Text Solution

    |

  15. The general solution of 4costheta=sqrt(10-2sqrt(5)) is

    Text Solution

    |

  16. The general solution of cot(2theta)=sqrt(2)+1 is

    Text Solution

    |

  17. The most general value of theta satisfying the equations costheta=-(1)...

    Text Solution

    |

  18. If sqrt(3) cos theta - sin theta = 1 then theta =

    Text Solution

    |

  19. If 4cos^(2)x-2(1+sqrt(3))cosx+sqrt(3)=0 the solution set in [0,pi] is

    Text Solution

    |

  20. The solution of the equation cos^(2)theta+sintheta+1=0 lies in the int...

    Text Solution

    |

  21. If rsintheta=3andr=4(1+sintheta) where 0ltthetale2pi then theta =

    Text Solution

    |