Let $\mathbf { a } ( t ) = \cos t \mathbf { i } + \sin t \mathbf { j }$

Let $\mathbf { a } ( t ) = \cos t \mathbf { i } + \sin t \mathbf { j }$ be the acceleration of an object with velocity $\mathbf { v } ( t )$ . If $\mathbf { v } ( 0 ) = - \mathbf { i } + \mathbf { j }$ then $\mathbf { v } ( t )$ is

A) $( \sin t + 1 ) \mathbf { i } - ( \cos t - 2 ) \mathbf { j }$
B) $( \sin t - 1 ) \mathbf { i } - ( \cos t - 2 ) \mathbf { j }$
C) $( \sin t - 1 ) \mathbf { i } - ( \cos t + 2 ) \mathbf { j }$
D) $( \sin t - 1 ) \mathbf { i } + ( \cos t - 2 ) \mathbf { j }$
E) $( \sin t + 1 ) \mathbf { i } + ( \cos t - 2 ) \mathbf { j }$