Problem 3
True or False Exact values can be found for the trigonometric functions of \(60^{\circ} .\)
Problem 3
Simplify: \(\sqrt{32}=\)_____ ;\(-\sqrt{45}=\)_____
Problem 5
It is easiest to graph y = sec x by first sketching the graph of ____________. (a) \(y=\sin x\) (b) \(y=\cos x\) (c) \(y=\tan x\) (d) \(y=\csc x\)
Problem 5
Find the amplitude (if one exists), period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. $$ y=2 \cos \left(3 x+\frac{\pi}{2}\right) $$
Problem 5
The function \(y=-3 \cos (6 x)\) has amplitude ________ and period _______.
Problem 5
Two acute angles whose sum is a right angle are called _____ angles.
Problem 5
Multiple Choice Exact values of the six trigonometric functions of \(\frac{\pi}{4}\) can be obtained using which special triangle? (a) obtuse (b) \(45^{\circ}-45^{\circ}-90^{\circ}\) (c) \(30^{\circ}-60^{\circ}-90^{\circ}\) (d) equilateral
Problem 6
True or False The graphs of \(y=\sin x\) and \(y=\cos x\) are identical except for a horizontal shift.
Problem 7
The values of the trigonometric functions repeat themselves every _____ or _______ radians.
Problem 8
True or False The graph of the sine function has infinitely many \(x\) -intercepts.