Exam 17: Graphs of the Trigonometric Functions

Graph the parametric equations: $x=2 \cos \theta, y=6 \cos \theta$

Express $(-2,3)$ in polar coordinates to three significant digits.

Graph the parametric equations: $x=3 \sin \theta, y=\sin \theta$

Determine the period, frequency, and amplitude for this periodic waveform:

Express $(-7.00,-3.25)$ in polar coordinates.

Graph $y=-\sin x$ . Determine the amplitude and period.

Graph the function $y=0.25 \sec (2 x)$

Graph the function $y=x^{2}+\sin x$ .

Graph $y=3 \cos (2 x-\pi)$ . Determine the amplitude, period, and phase shift.

Find the frequency (in $\mathrm{Hz}$ ) and angular velocity of a repeating waveform whose period is $14 \mathrm{~s}$ .

Graph the function $y=5 x^{2}+2 \sin (2 \pi x-5)$ .

Graph the function $y=1.5 \csc 1.5 x$ .

Determine the period, frequency, and amplitude for this periodic waveform:

Graph the function $y=2 \tan 3 x$ .

Write the rectangular coordinates of $\left(3.14,124^{\circ}\right)$ .

Graph $y=4 \sin x$ . Determine the amplitude and period.

Graph the function $y=\sec (2 x+5)$ .

Write the equation of a sine function that has an amplitude of 100 , a period of 8 , and a phase shift of 4 to the right.

Write the rectangular coordinates of $(2,-\pi / 4)$ to three significant digits.

Find the period and angular velocity of a repeating waveform that has a frequency of $66.5 \mathrm{~Hz}$ .