91Ó°ÊÓ

a. Graph \(y=\sin 2 x\) and \(y=2 \sin x\) on the same axes. b. Does sin \(2 x=2 \sin x\) for all values of \(x ?\) Is sin \(2 x=2 \sin x\) an identity? Explain. c. Does \(\sin 2 x=2 \sin x\) for any values of \(x ?\) If so, what are they? d. Open-Ended Find an equation of the form \(a \sin b=c \sin d\) whose solutions are 2\(\pi n .\)

In \(\triangle X Y Z, \angle Z\) is a right angle and \(\tan X=\frac{8}{15}\) What is \(\sin Y ?\) F. \(\frac{8}{17}\) G. \(\frac{15}{17}\) H. \(\frac{17}{15}\) J. \(\frac{15}{8}\)

Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ 200^{\circ} $$