If z = 2 - 2i, find the rotation of z by `theta` radians in the counter clockwise direction about the origin when
` theta = (pi)/(3)`

If z = 2 - 2i, find the rotation of z by theta radians in the counter clockwise direction about the origin when theta = (2pi)/(3)

If z = 2 - 2i, find the rotation of z by theta radians in the counter clockwise direction about the origin when theta = (3pi )/(2)

If z=sqrt(2)- isqrt(2) si rotated through an angle 45^(@) in the anti-clockwise direction about the origin, then the co-ordianates of its new position are

If line joining two points (3, 0 ) and (5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15^@ , then the equation of the line in the new position .

If theta is an acute angle, then find cos ((pi)/(4) + (theta)/(2)) , when sin theta = (8)/(9)

If z = 1 - cos theta + i sin theta , then |z| =

If a line joining two points (3,0) and (5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15^@ , Then find the equation of the line in the new position.

If theta is an acute angle, then find sin ((pi)/(4)-(theta)/(2)) when sin theta = (1)/(25)