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Magazine Problem 5
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 5
Use addition of \(y\)-coordinates to sketch the graph of each of the following between \(x=0\) and \(x=4 \pi\). $$ y=4+2 \sin x $$
Problem 6
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 6
Evaluate each expression without using a calculator, and write your answers in radians. $$ \cos ^{-1}\left(\frac{1}{2}\right) $$
Problem 6
Use addition of \(y\)-coordinates to sketch the graph of each of the following between \(x=0\) and \(x=4 \pi\). $$ y=4+2 \cos x $$
Problem 6
Make a table of values for Problems 1 through 6 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 \(2 \pi\). $$ y=\sec x $$
Problem 7
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 7
Evaluate each expression without using a calculator, and write your answers in radians. $$ \cos ^{-1}(-1) $$
Problem 7
Use addition of \(y\)-coordinates to sketch the graph of each of the following between \(x=0\) and \(x=4 \pi\). $$ y=\frac{1}{3} x-\cos x $$
Problem 8
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amplitude for each graph. \(y=-3 \cos x\)
