MAT1510 ASSIGNMENT 4 2025

MAT1510
ASSIGNMENT 4
2025

, QUESTION 1


1.1).


a).


4π
t=−
3


x = cos(t)
y = sin(t)


P(x, y) = (cos(t) , sin(t))
4π 4π
P(x, y) = (cos (− ) , sin (− ))
3 3
1 √3
P(x, y) = (− , )
2 2



b).


8π
t=
3


x = cos(t)
y = sin(t)


P(x, y) = (cos(t) , sin(t))
8π 8π
P(x, y) = (cos ( ) , sin ( ))
3 3
1 √3
P(x, y) = (− , )
2 2

, c).


11π
t=
6


x = cos(t)
y = sin(t)


P(x, y) = (cos(t) , sin(t))
11π 11π
P(x, y) = (cos ( ) , sin ( ))
6 6
√3 1
P(x, y) = ( , − )
2 2




d).


3π
t=
2


x = cos(t)
y = sin(t)


P(x, y) = (cos(t) , sin(t))
3π 3π
P(x, y) = (cos ( ) , sin ( ))
2 2
P(x, y) = (0, −1)