Write $8 \sin (4 t)-9 \cos (4 t)$ In the Form $A \sin (B t+C)$

Multiple Choice

Write $8 \sin (4 t) -9 \cos (4 t)$ in the form $A \sin (B t+C)$ . Round all numbers to 3 decimal places if necessary.

A) $12.042 \sin (4 t-0.844)$
B) $8 \sin (4 t-0.844)$
C) $12.042 \sin (4 t+8.5)$
D) $12.042 \sin (-0.844 t+4)$