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Magazine Problem 8
Evaluate each expression without using a calculator, and write your answers in radians. $$ \cos ^{-1}(0) $$
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. \(y=-3 \cos x\)
Problem 9
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the period for each graph. $$ y=\csc 3 x $$
Problem 9
Evaluate each expression without using a calculator, and write your answers in radians. $$ \tan ^{-1}(1) $$
Problem 9
Make a table using multiples of \(\pi / 4\) for \(x\) to sketch the graph of \(y=\sin 2 x\) from \(x=0\) to \(x=2 \pi\). After you have obtained the graph, state the number of complete cycles your graph goes through between 0 and \(2 \pi\).
Problem 9
\(y=4+4 \sin 2 x\)
Problem 9
Use addition of \(y\)-coordinates to sketch the graph of each of the following between \(x=0\) and \(x=4 \pi\). $$ y=\frac{1}{2} x-\cos x $$
Problem 10
Make a table using multiples of \(\pi / 6\) for \(x\) to sketch the graph of \(y=\sin 3 x\) from \(x=0\) to \(x=2 \pi\). After you have obtained the graph, state the number of complete cycles your graph goes through between 0 and \(2 \pi\).
Problem 10
Evaluate each expression without using a calculator, and write your answers in radians. $$ \tan ^{-1}(0) $$
Problem 10
Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the period for each graph. $$ y=\csc 4 x $$
