Home
Class 12
MATHS
The most general solution of theta satis...

The most general solution of `theta` satisfying the equations `sintheta=sinalpha` and `costheta=cosalpha` is

A

`2npi + alpha`

B

`2n pi - alpha`

C

`n pi + alpha`

D

`n pi - alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
Since `sin theta = sin alpha " "…..(i)`
and `cos theta = cos alpha " "…(ii)`
[divided Eq.(i) by Eq(ii)]
`therefore " " tan theta = tan alpha`
`rArr " " theta = npi + alpha`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 10

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 12

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

Similar Questions

Explore conceptually related problems

The most general solution of theta satisfying the equations sin theta=sin alpha and cos theta=cos alpha is

The most general values of x satisfying the equation sinx=sinalpha and costheta=cosalpha is

The general value of theta satisfying the equation 2sin^(2)theta-3sintheta-2=0 is

The most general value of theta satisfying the equations sin theta=(1)/(sqrt(2)) and cos theta=-(1)/(sqrt(2)) is

Find the most general value of theta satisfyingn the equation tantheta=-1 and costheta=(1 )/(sqrt(2)) .

The most general values of theta satisfying the two equations cos theta=-(1)/(sqrt(2)),tan theta=1 is

The most general values of theta satisfying the two equations cos theta=-(1)/(sqrt(2)),tan theta=1 is

The general value of theta satisfying sin^(2)theta+sintheta=2 is

What are the most general values of theta which satisfy the equations tantheta = -1

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 11 -PAPER 2 (MATHEMATICS )
  1. If y = 1 +(1)/(x) +(1)/(x^(2)) + (1)/(x^(3)) + ……..+oo with |x| gt 1...

    Text Solution

    |

  2. The equation of second degree x^2+2sqrt2x+2y^2+4x+4sqrt2y+1=0 represen...

    Text Solution

    |

  3. If f(x) = log ((1+x)/(1-x)), where -1 lt x lt 1 then f((3x+x^(2))/(1+3...

    Text Solution

    |

  4. The equation of circle which touches X and Y-axes at the points (1, 0)...

    Text Solution

    |

  5. The length of the common chord of the two circles x^2+y^2-4y=0 and x^2...

    Text Solution

    |

  6. The distance between the directices of the hyperboltic x = 8 sec t...

    Text Solution

    |

  7. The eccentricity of the ellipse 25x^(2) + 16y^(2) - 150 x - 175 = 0...

    Text Solution

    |

  8. If O is the original and A is the point (a,b,c) then the equatio...

    Text Solution

    |

  9. Find the equation of a plane which passes through the point (3, 2, ...

    Text Solution

    |

  10. The value of cos^(-1) (cos 12) - sin^(-1)(sin 14) is

    Text Solution

    |

  11. If one side of a triangle is double the other, and the angles on op...

    Text Solution

    |

  12. The most general solution of theta satisfying the equations sintheta=s...

    Text Solution

    |

  13. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-p...

    Text Solution

    |

  14. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

    Text Solution

    |

  15. If alpha = sin^(-1)sqrt(3)/(2)+sin^(-1)1/3 , beta =cos ^(-1)sqrt(3)/(2...

    Text Solution

    |

  16. In DeltaABC , the value of (cotA/2cotB/2-1)/(cotA/2cotB/2) is

    Text Solution

    |

  17. Write the value of the derivative of f(x)=|x-1|+|x-3| at x=2 .

    Text Solution

    |

  18. If tangent tto the curve x=at^(2),y=2at is perpendicular to X-axis, th...

    Text Solution

    |

  19. The foot of the perpendicular form (2,4,-1) to the line x +5 =(1)/...

    Text Solution

    |

  20. The solution of the differential equation (1+y^(2)) tan^(-1) x dx + y...

    Text Solution

    |