Solve the Problem $y = 2 \cos 3 t - 7 \sin 3 t$

Solve the problem.
-The position of a weight on a spring relative to the point of equilibrium is given by $y = 2 \cos 3 t - 7 \sin 3 t$ ,
where the arguments are in radians and $t$ is in seconds. Find the smallest value of $t$ for which the weight is at the point of equilibrium $( \mathrm { y } = 0 )$ . Give your answer to the nearest hundredth.

A) $0.43$
B) $0.17$
C) $0.48$
D) $0.09$

Correct Answer:

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