Answer with Step-by-step explanation:
We are given that
Radius of circle,r=6 units
Center of circle=(0,0)
In xy-plane , for clockwise orientation
[tex]x=rcost,y=rsint[/tex]
Substitute the value of r
[tex]x=6cost,y=6sint[/tex]
When we change the orientation then sign of the parameter will be change.
At t=0, x=6 but the sign of y will be change
Therefore,
[tex]x=6cost,y=-6sint[/tex]
[tex]0\leq t\leq 2\pi[/tex]
Substitute t=0
[tex]x=6,y=0[/tex]
Hence, the point (6,0) should to correspond to t=0
