Home
Class 12
MATHS
(sin theta+i cos theta)^(9)=...

`(sin theta+i cos theta)^(9)`=

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

If ((1+cos theta+i sin theta)/(sin theta+i+i cos theta))^(4)=cos n theta+i sin n theta , then n=

Evaluate the following (sin theta +cos theta )^(2) +(sin theta -cos theta )^(2)

Prove that: (1-sin theta + cos theta)^(2) = 2(1+ cos theta) (1-sin theta) .

The value of the integral int_0^(pi/4) (sin theta + cos theta)/(9+16 sin 2 theta) d theta is

(sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta)= ________

Prove that: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) = 1-sin theta cos theta

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

Prove that: (sin theta - cos theta +1)/(sin theta + cos theta -1) = (1)/(sec theta - tan theta)

If 3 cot theta = 5, ( 5 sin theta - 3 cos theta)/( 5 sin theta + 3 cos theta) = _______

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If theta is the angle between the vectors 2i-2j+4k and 3i+j+2k then si...

    Text Solution

    |

  2. If two out of the three vectors vec a, vec b, vec c are unit vectors, ...

    Text Solution

    |

  3. (sin theta+i cos theta)^(9)=

    Text Solution

    |

  4. If OACB is a parallelogram with vec OC = vec a and vec AB = vec b then...

    Text Solution

    |

  5. If vec a, vec b, vec c, vec d are the coplanar vectors then (vec a xx ...

    Text Solution

    |

  6. With usual notation [i-j j-k k-i] =

    Text Solution

    |

  7. If theta is the angle between any two vector vec a and vec b, then |ve...

    Text Solution

    |

  8. If vec a = i +j and vec b = j-k then the angle between vec a + vec b a...

    Text Solution

    |

  9. ABCD is a parallelogram, with AC, BD as diagonals. Then vec AC - vec B...

    Text Solution

    |

  10. If vec a = i+j+k, vec b = i+j, vec c = i and (vec a xx vec b) xx vec c...

    Text Solution

    |

  11. If vec a, vec b, vec c be the position vectors of the vertices A, B, C...

    Text Solution

    |

  12. If vec a, vec b, vec c are three vectors such that vec a = vec b + vec...

    Text Solution

    |

  13. If A, B, C are the vertices of a triangle whose position vectors are v...

    Text Solution

    |

  14. If i+2j+3k, 3i+2j+k are sides of parallelogram, then a unit vector par...

    Text Solution

    |

  15. If the vectors vec a = 2i+3j+6k and vec b are collinear and |vec b| = ...

    Text Solution

    |

  16. If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1, then vec a =

    Text Solution

    |

  17. If i-2j, 3j+k and lambda i + 3j are coplanar then lambda =

    Text Solution

    |

  18. The position vector of a point laying on the line joining the points w...

    Text Solution

    |

  19. If vec a + vec b + vec c = 0 and |vec a|= 3, |vec b| = 4 and |vec c| =...

    Text Solution

    |

  20. Two planes are perpendicular to one another. One of then contains vect...

    Text Solution

    |