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Magazine Problem 15
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. $$ y=\frac{1}{2} \cos x $$
Problem 16
Make a table of values for Problems 13 through 18 using multiples of \(\pi / 4\) for \(x\). Then use the entries in the table to sketch the graph of each function for \(x\) between 0 and \(2 \pi\). $$y=\sin x$$
Problem 16
Graph \(y=\cot x\) for \(x\) between 0 and \(\pi\), and then reflect the graph about the line \(y=x\) to obtain the graph of \(y=\cot ^{-1} x\).
Problem 16
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. $$ y=\frac{1}{3} \sin x $$
Problem 17
Identify the period for each of the following. Do not sketch the graph. \(y=\cot (3 x)\)
Problem 17
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. $$ y=-3 \cos x $$
Problem 17
Make a table of values for Problems 13 through 18 using multiples of \(\pi / 4\) for \(x\). Then use the entries in the table to sketch the graph of each function for \(x\) between 0 and \(2 \pi\). $$y=\tan x$$
Problem 17
Evaluate each expression without using a calculator, and write your answers in radians. $$\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)$$
Problem 18
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. $$ y=-4 \sin x $$
Problem 18
Evaluate each expression without using a calculator, and write your answers in radians. $$\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)$$
