If `(1+2i)/(2+i) = r (cos theta + isin theta)` then

Select and write the correct answer from the given alternatives in each of the following: If (1 + 2i) / (2 + i) = r (cos theta + i sin theta) , then

If (1+2i)/(2+i)=r(cos theta+i sin theta) then

If (1 + z)/(1 - z) = cos 2theta + i sin 2theta , show that z = i tan theta .

If ((4i^(3)-i)/(2i+1))^(2)=r(cos theta+isin theta) , then cos theta+sin theta is equal to (where, i^(2)=-1 )

If ((4i^(3)-i)/(2i+1))^(2)=r(cos theta+isin theta) , then cos theta+sin theta is equal to (where, i^(2)=-1 )

If sqrt(3)+i= r(cos theta+isin theta) , then find the value of theta in radian measure.

If (1 + cos theta + isin theta) (1 + cos 2 theta + isin 2theta) = x + iy then y =

If (2+i)r^(-1)={4i+(1+i)^(2)}(cos theta+i sin theta) then value of r is

If (1 + cos theta - isin theta) ( 1+ cos 2 theta + isin 2 theta) = x +iy then x^(2) + y^(2) =