Draw the polar oordinate `(3,(5pi)/(4))` on the plane.

Find the Cartesian coordinates (drawing a figure in each cas the points whose polar coordinates are: (5,(pi)/(4)) Change to polar coordinates the equations:

Draw the polar coordinates (2, (pi)/(3)), (-2,(pi)/(3)), (-2,-(pi)/(3)) and (2, -(pi)/(3)) on the plane.

Draw the polar coordinates (2, (pi)/(3)), (-2,(pi)/(3)), (-2,-(pi)/(3)) and (2, -(pi)/(3)) on the plane.

(b) Find the Cartesian co-ordinates of a point whose polar co-ordinates are (sqrt2,(5pi)/(4)) .

Plot the following polar coordinates: (3, (7pi)/4)

Plot the following polar coordinates: (-3, -(3pi)/4)

Plot the following polar coordinates: (3,-pi/3)

If polar co-ordinates of a point are ((3)/(4), (3pi)/(4)) , then its Cartesian co-ordinate are ____________.

Draw the graph of y= sqrt(2) sin (x+ (pi)/(4)) for the values of x= 0 , (pi)/(4) , (pi)/(2) ,(3pi)/(4) in [(pi)/(4) ,(3pi)/(4)] and find the maximum value of y.