In programing a computer video game, mavis coded the changing location of a space rocket as folows:
at a time t seconds betwen t = 0 seconds and t = 2 seconds, the location
x
of the rocket is given by

cos

2
− sin

2

sin

2
cos

2

−1
−1
.
at a time of t seconds betwen t = 2 seconds and t = 4 seconds, the location of the rocket is given by
− t
3 − t

a. what is the location of the rocket at time t = 0? what is its location at time t = 4?