Home
Class 12
MATHS
Imaginary part of (1)/(1+cos theta-i si...

Imaginary part of `(1)/(1+cos theta-i sin theta)` is

A

`2 tan (theta/2)`

B

`-(1)/(2) tan (theta)/(2)`

C

`-cosec theta`

D

`(1)/(2) tan (theta/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

The real part of (1)/(1-cos theta+i sin theta) is

The real part of (1)/(1+cos theta+i sin theta) is

If x+i y=(1)/(1+cos theta+i sin theta) then x^(2)

The real part of (1-costheta + I sin theta)^(-1) is

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

(1+cos theta+i sin theta)^(10)+(1+cos theta-i sin theta)^(10)=

If theta=(pi)/(6) then the 10^(th) term of the series 1+(cos theta+i sin theta) + (cos theta+i sin theta)^(2) +…... . is

Find the value of the determinants (i) {:[( cos theta , -sin theta ),( sin theta , cos theta ) ]:}" " (ii) {:[( x^(2) -x+1,x-1),( x+1,x+1) ]:}

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