Back to Solve trigonometric equations — Problem 5 · Task Set 75

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

This short check helps your tutor understand where to start. Answer each question on your own. If you are not sure, give your best try — every response helps your tutor plan your sessions.

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

Work through problems with immediate feedback

Procedures

For $\sin\!\left(\dfrac{\pi t}{4}\right) = 0.52$ , the principal solution
is $t_1 \approx 0.696$ .

The period of the model is 8 minutes. Which expression gives the
second solution in the interval $[0, 8)$ ?

$t_2 = 8 - 0.696 \approx 7.304$

$t_2 = 2\pi - 0.696 \approx 5.587$

$t_2 = \dfrac{4(\pi - 0.5464)}{\pi} \approx 3.304$

$t_2 = 0.696 + 8 \approx 8.696$