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Magazine Problem 1
Fill in the blank. The ___________ of \(y=\sin (B x)\) and \(y=\cos (B x)\) is \(2 \pi / B\).
Problem 12
Determine amplitude, period, and phase shift for each function. $$ y=2 \sin (x-\pi / 4) $$
Problem 13
Find the approximate value of each expression to the nearest tenth. $$ \sec (1.56) $$
Problem 13
Determine amplitude, period, and phase shift for each function. $$ y=3 \sin (4 x) $$
Problem 20
Sketch at least one cycle of the graph of each function. Determine the period, the phase shift, and the range of the function. Label the five key points on the graph of one cycle as done in the examples. $$ y=\cos (x / 3) $$
Problem 20
Find the approximate value of each expression to the nearest tenth. $$ \sec (4.72) $$
Problem 22
Find the approximate value of each expression to the nearest tenth. $$ \tan (1.575) $$
Problem 33
Determine the period of each function. $$ y=\cot (3 x+\pi) $$
Problem 35
Sketch at least one cycle of the graph of each function. Determine the period, the phase shift, and the range of the function. Label the five key points on the graph of one cycle as done in the examples. $$ y=-\frac{1}{2} \sin \left[3\left(x-\frac{\pi}{6}\right)\right]-1 $$
Problem 44
Sketch at least one cycle of the graph of each function. Determine the period and the equations of the vertical asymptotes. $$ y=3 \tan (x)-2 $$
