Problem 13
a. Sketch the graphs of \(y=\tan x\) and \(y=\cot x\) for \(-\pi \leq x \leq \pi\) b. Name four values of \(x\) in the interval \(-\pi \leq x \leq \pi\) for which tan \(x=\cot x\)
Problem 13
Find the period of each function. \(y=\cos 3 x\)
Problem 14
In \(3-14,\) sketch one cycle of the graph. $$ y=-\cos x $$
Problem 17
In \(15-26,\) find each exact value in radians, expressing each answer in terms of \(\pi\) \(y=\arctan 1\)
Problem 20
Using the graphs of each function, determine whether each function is even, odd, or neither. a. \(y=\tan x\) b. \(y=\csc x\) c. \(y=\sec x\) d. \(y=\cot x\)
Problem 20
In \(15-26,\) find each exact value in radians, expressing each answer in terms of \(\pi\) \(y=\arccos \frac{1}{2}\)
Problem 26
In \(15-26,\) find each exact value in radians, expressing each answer in terms of \(\pi\) \(y=\arcsin 0\)
Problem 27
Sketch one cycle of each function. \(y=\sin x\)
Problem 32
Sketch one cycle of each function. \(y=3 \cos x\)
Problem 37
Sketch one cycle of each function. \(y=\sin \left(x+\frac{\pi}{2}\right)\)