Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Review - Test - Page 465: 2

Answer

(a) $\frac{4}{5}$ (b) $-\frac{3}{5}$ (c) $-\frac{4}{3}$ (d) $-\frac{5}{3}$

Work Step by Step

Since point $P$ is in Quadrant II and on a unit circle with $y=4/5$, we have $x=-\sqrt {1-(4/5)^2}=-3/5$. Use definitions of the trig functions: (a) sin t =y=4/5 (b) cos t = x =-3/5 (c) tan t = y/x = -4/3 (d) sec t =1/x= -5/3
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