Home
Class 12
MATHS
If sin 3theta = sin theta, how many solu...

If `sin 3theta = sin theta`, how many solutions exist such that ` - 2pi lt theta lt 2 pi` ?

A

8

B

9

C

5

D

11

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Find all the value of theta satisfying the equation , sin 7 theta = sin theta + sin 3 theta such that 0 le theta le pi

A value of theta satisfying sin 5 theta-sin 3 theta+sin theta=0 such that 0 lt theta lt (pi)/(2) is

If cos theta + sin theta = sqrt(2) cos theta , show that cos theta - sin theta = sqrt(2) sin theta .

If 3 sin 2 theta=2 sin 3 theta and 0 lt theta lt pi then sin theta=

( sin theta - 2 sin ^ 3 theta ) / (2 cos ^ 3 theta - cos theta ) = tan theta

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

Let A=[[ 1 , sin theta , 1 ],[-sin theta , 1 , sin theta],[-1 , -sin theta , 1 ]] , where 0 le theta le 2 pi , then,

If x = theta cos theta + sin theta, y = cos theta- theta sin theta , then dy/dx at theta = pi/2

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

If sin theta + cos theta = a and sin^(3) theta + cos^(3) theta = b, (3a - 2b)=

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2007-MATHEMATICS
  1. The conjugate of the complex number (1 + i)^(2)/(1-i) is

    Text Solution

    |

  2. ABC is a trianlgle with angle A = 30^(@), BC = 10 cms. The area of the...

    Text Solution

    |

  3. If sin 3theta = sin theta, how many solutions exist such that - 2pi l...

    Text Solution

    |

  4. A graph G has 'm' vertices of odd degree and 'n' vertices of even degr...

    Text Solution

    |

  5. If P is any point on the ellipse (x^(2))/(36) + (y^(2))/(16) = 1 , and...

    Text Solution

    |

  6. The value of sin[(2 cos^(-1))(sqrt5)/(3)] is

    Text Solution

    |

  7. If (x^(2))/(36) - (y^(2))/(k^(2)) = 1 is a hyperbola, then which of th...

    Text Solution

    |

  8. If and B is the inverse of A, then the value of alpha is

    Text Solution

    |

  9. If A={:[(0,x,16),(x,5,7),(0,9,x)]:} is singular, then the possible val...

    Text Solution

    |

  10. If A= [[1 ,-2, 2],[0, 2, -3],[3 ,-2, 4]], then A . adj A=

    Text Solution

    |

  11. If f = R rightarrow R is defined by f(x) = |x|, then,

    Text Solution

    |

  12. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

    Text Solution

    |

  13. The imaginary part of i' is

    Text Solution

    |

  14. The amplitude of (1 + i)^(5) is

    Text Solution

    |

  15. ABC is a triangle.G is the centroid.D is the mid point of BC.If A =(2,...

    Text Solution

    |

  16. lim(x-1)(tan(x^(2)-1))/(x-1) is equal to

    Text Solution

    |

  17. If y = 2^(log x), then (dy)/(dx) is

    Text Solution

    |

  18. 7^(2log(7)^(5)) is equal to

    Text Solution

    |

  19. In the group (G,oplus(15)) where G={3,6,9,12}, oplus(15) is multiplica...

    Text Solution

    |

  20. A group (G,*) has 10 elements. The minimum number of elements of G, wh...

    Text Solution

    |