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Magazine Problem 18
In \(15-26,\) find each exact value in radians, expressing each answer in terms of \(\pi\) \(y=\arcsin \left(\frac{\sqrt{3}}{2}\right)\)
Problem 19
The graphs of which two trigonometric functions have an asymptote at \(x=\frac{\pi}{2} ?\)
Problem 19
In \(15-26,\) find each exact value in radians, expressing each answer in terms of \(\pi\) \(y=\arcsin \left(-\frac{\sqrt{3}}{2}\right)\)
Problem 19
Find the phase shift of each function. \(y=\cos \left(x+\frac{\pi}{2}\right)\)
Problem 20
In \(15-26,\) find each exact value in radians, expressing each answer in terms of \(\pi\) \(y=\arccos \frac{1}{2}\)
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
Find the phase shift of each function. \(y=\cos \left(x-\frac{\pi}{2}\right)\)
Problem 21
Find the phase shift of each function. \(y=\sin \left(x+\frac{\pi}{3}\right)\)
Problem 21
a. On the same set of axes, sketch the graphs of \(y=2 \sin x\) and \(y=\cos x\) in the interval \(0 \leq x \leq 2 \pi\) b. How many points do the graphs of \(y=2 \sin x\) and \(y=\cos x\) have in common in the interval \(0 \leq x \leq 2 \pi ?\)
Problem 22
a. On the same set of axes, sketch the graphs of \(y=\tan x\) and \(y=\cos \left(x+\frac{\pi}{2}\right)\) in the interval \(-\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}\) . b. How many points do the graphs of \(y=\tan x\) and \(y=\cos \left(x+\frac{\pi}{2}\right)\) have in common in the interval \(-\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2} ?\)
