Which function is a translation of y = sin θ that is pi/3 units up and pi/2 units to the left?

Which function is a translation of y = sin θ that is $\small \frac{\pi }{3}$ units up and $\small \fn_phv \small \frac{\pi }{2}$ units to the left?

a. $\small y=\sin\left (\theta +\frac{\pi }{3} \right )+ \frac{\pi }{2}$

b. $\small y=\sin\left (\theta +\frac{\pi }{2} \right )+ \frac{\pi }{3}$

c. $\small y=\sin\left (\theta -\frac{\pi }{2} \right )+ \frac{\pi }{3}$

d. $\small y=\sin\left (\theta -\frac{\pi }{3} \right )- \frac{\pi }{2}$

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