Back to Solve trigonometric equations — Problem 4 · 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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After isolating, you have $\sin\!\left(\dfrac{\pi t}{4}\right) = 0.52$ .

Using a calculator in radian mode, $\arcsin(0.52) \approx 0.5464$ .

Which expression gives the principal solution for $t$ ?

$t = 0.5464$

$t = \dfrac{4 \times 0.5464}{\pi}$

$t = \dfrac{\pi \times 0.5464}{4}$

$t = \arcsin(0.52) \times 4$