Help, parametric equations

Help, I don’t get why x is between 1 and 5
Because when I sub t=0 into the x equation
I get x to be 3 not 1

The min and max of the values of t will not necessarily give you the min and max values of x.

You know the shape of the sine curve. When is it a maximum, and when is it a minimum in the interval 0 to 2pi? Sub in those value of t, ....

Sine curve is minimum at -1 and maximum at 1

Sine curve is minimum at -1 and maximum at 1

So if sin t has a max value of 1, what's the max value of 2sin t? And so what's the max value of 3 + 2sin t?

2 and 5

coz 2(1)=2