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Back to Solve trigonometric equations — Problem 1 · Task Set 75

HSF.TF.B.7 Tutor Intake — Solving Trigonometric Equations in Context

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-tf-b-7
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Procedures

1.

A tidal model is h(t)=3.2cos⁡ ⁣(πt6.25)+4.0h(t) = 3.2\cos\!\left(\dfrac{\pi t}{6.25}\right) + 4.0,
where tt is hours after midnight.

After isolating the cosine expression to solve h=6h = 6, the equation
becomes cos⁡ ⁣(πt6.25)=?\cos\!\left(\dfrac{\pi t}{6.25}\right) = {?}.

Enter the decimal value on the right side.