Home
Class 11
MATHS
If a=cos theta+i sin theta then (1+a)/(1...

If `a=cos theta+i sin theta` then `(1+a)/(1-a)=`

A

`i "cot" theta/2`

B

`i "tan" theta/2`

C

`i "cot" theta/2`

D

`i "cot" theta/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If n is an integer and z=cos theta+i sin theta , then (z^(2 n)-1)/(z^(2 n)+1)=

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

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

If A=[[sin theta , cos theta],[-cos theta , -sin theta]] then A^(2)=

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

For which value of an acute angle theta ,(i) ( cos theta )/( 1-sin theta ) +(cos theta )/( 1+sin theta ) =4 is true ? For which value of 0^(@) le theta le 90 ^(@) , above equation is not defined?

If A=[[cos theta , sin theta],[sin theta,-costheta]], B = [[1,0],[-1,1]], C=ABA^(T), then A^(T) C^(n) A, n in I^(+) equals to

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

If (cos theta+i sin theta) .(cos 2 theta+i sin 2 theta) ldots ldots(cos m theta+i sin m theta)=1 then the value of theta is