Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Review Exercises - Page 191: 51d



Work Step by Step

Since June is represented by $x=5$, we substitute $x=5$ in the equation to find the value of $t$: $t=60-30\cos\frac{x\pi}{6}$ $t=60-30\cos\frac{5\pi}{6}$ $t=60-30(-\frac{\sqrt 3}{2})$ $t=60-15(-\sqrt 3)$ $t=60+15\sqrt 3$ $t=60+25.981$ $t=85.981\approx86$ Therefore, the maximum afternoon temperature for the month of June is 86$^{\circ}$F.
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