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TrigonometryMediumTrigonometric Equations

Trigonometric Equations · Medium problem

The water depth at a harbor is d(t)=5+2sin⁡πt6d(t) = 5 + 2\sin\dfrac{\pi t}{6} metres, where tt is the number of hours after midnight. Between midnight and noon (0≤t≤120 \le t \le 12), for how many hours is the depth at least 66 metres?