Back to Solve trigonometric equations — Problem 3 · 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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A student evaluates $\arcsin(0.52)$ on their calculator and gets $31.3$ .
They use this value as the angle in radians to continue solving.

What most likely went wrong?

The student should have used arccos instead of arcsin.

The calculator was in degree mode; the correct radian value is approximately 0.5464.

The value 0.52 is outside the domain of arcsin, so the calculation failed.

The student should have squared 0.52 before applying arcsin.