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

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

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A Ferris wheel model is $h(t) = 25\sin\!\left(\dfrac{\pi t}{4}\right) + 27$ .
You want to find when $h = 40$ .

Which equation correctly isolates the trigonometric expression as the
first step toward solving for $t$ ?

$\sin\!\left(\dfrac{\pi t}{4}\right) = 40$

$\sin\!\left(\dfrac{\pi t}{4}\right) = 0.52$

$\dfrac{\pi t}{4} = \arcsin(40)$

$25\sin\!\left(\dfrac{\pi t}{4}\right) = 40$