Home
Class 11
MATHS
The equations sin t=1/4, cos t= 3/4 have...

The equations `sin t=1/4, cos t= 3/4` have:

A

no solution

B

a unique solution

C

infinitely many solutions

D

precisely two solutions.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

The equations cos t=2/5, sin t= 3/5 have:

Find the equations of the normal to the given curves at the indicated points: x = cost, y = sin t at t = pi/4

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = sin^3t/sqrt cos 2t, y = cos^3t/sqrt cos 2t

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = a(cos t + log tan t/2)y = a sin t

Find the equation of the tangent at t = pi/4 to the curve: x = sin 3t, y = cos 2t.

Find the equation of tangent to the curve given by x = a sin^3 t, y = b cos^3 t at a point where t = pi/2 .

Solve the following equation : 2 cos^2 t+ 3 sin t = 0 .

Parametric equations of a line are x=-1+2t, y=3-4t and z=2+t. find the equations of the line in the symmetrical form.

Eliminate the parameter ‘t’ from the equations : x=(20t)/(4+t^2), y= (5(4-t^2))/(4+t^2) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Find the general values of theta which satisfies the equation tan th...

    Text Solution

    |

  2. The equations cos t=2/5, sin t= 3/5 have:

    Text Solution

    |

  3. The equations sin t=1/4, cos t= 3/4 have:

    Text Solution

    |

  4. The maximum value of 5 cos theta +3 cos (theta + pi/3)+3 is :

    Text Solution

    |

  5. If sinx =1/3, then sin 3x is:

    Text Solution

    |

  6. In a triangle, cosec A (sin B cos C + cos B sin C) is equal to :

    Text Solution

    |

  7. In a triangle, sec A (cos B cos C-sin B sin C) is equal to :

    Text Solution

    |

  8. If sin theta= sin alpha, then the value of sin frac (theta)(3) is:

    Text Solution

    |

  9. cos 52^@+ cos 68^@+ cos 172^@ is equal to :

    Text Solution

    |

  10. The value of cos 52^@ + cos 68^@ + cos 172^@ is:

    Text Solution

    |

  11. If in two circles, arcs of the same length subtend angles 60^@ and 75^...

    Text Solution

    |

  12. If in two circles, arcs of the same length subtend angles 60^@ and 75^...

    Text Solution

    |

  13. The minimum value of (cos theta+ sin theta) is:

    Text Solution

    |

  14. If tan theta=1/2 and tan phi=1/3, then the value of (theta + phi) is :

    Text Solution

    |

  15. The period of the function sin 3x is:

    Text Solution

    |

  16. The period of the function f(x) = cos 4x + tan 3x is :

    Text Solution

    |

  17. The number of points of intersection of 2y-1=0 and y = sinx,-2 pi lexl...

    Text Solution

    |

  18. The expression (cos 2b-cos 2a)/(sin 2b-sin2a) is equal to:

    Text Solution

    |

  19. If tan x=b/a, then the value of a cos 2x+b sin 2x is :

    Text Solution

    |

  20. If sin 5theta = cos 4theta where 5theta and 4theta are acute angles, f...

    Text Solution

    |