If `x=cos alpha+i sin alpha, y=cos beta+i sin beta` then "`(y)/(x)-(x)/(y)=`

If x=cos alpha+i sin alpha,y=cos beta+i sin beta then prove that (x-y)/(x+y)=i(tan)(alpha-beta)/(2)

If x cos alpha + y sin alpha = x cos beta + y sin beta = 2a then cos alpha cos beta =

If x=cos alpha+i sin alpha and y=cos beta+i sin beta,z=cos gamma+i sin gamma and if x+y+z=0 then prove that (1)/(x)+(1)/(y)+(1)/(z)=0

If x cos alpha + y sin alpha = x cos beta + y sin beta = a, 0

If alpha,beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha tan beta tan gamma and x=cos alpha+i sin alpha,y=cos beta+i sin beta and z=cos gamma+i sin gamma then the value of xyz is

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)