Exam 17: Graphs of the Trigonometric Functions

Find the frequency (in $\mathrm{Hz}$ ) and angular velocity of a repeating waveform whose period is $2 \mathrm{~s}$ .

Rewrite $r=2 \sin \theta$ in parametric form, and graph.

Graph the function $y=3 x-5 \cos (2 x)$ .

Graph $y=\cos \left(x-\frac{3 \pi}{8}\right)$ . Determine the amplitude, period, frequency, and phase shift.

Write rectangular coordinates of each point: (a) $\left(6.00,23.0^{\circ}\right)$ (b) $\left(2.00,197^{\circ}\right)$ (c) $(5.00,-3 \pi / 4)$ (d) $(19.1,-\pi / 7)$

Rewrite $r=2 \cos \theta$ in parametric form, and graph.

Transform the polar equation $r=3 \cos \theta$ into rectangular form.

Graph the parametric equations: $x=\sin \theta, y=-2 \sin \theta$

Graph $y=3.5 \sin \pi x$ . Determine the amplitude, period, and phase shift.

Write the equation of a sine curve that has an amplitude of 3 , a period of $3 \pi$ , and a phase shift of $\pi / 3$ .