91Ó°ÊÓ

Find the amplitude, period, and phase shift of the function, and graph one complete period. $$ y=2 \sin \left(x-\frac{\pi}{3}\right) $$

Each time your heart beats, your blood pressure increases, then decreases as the heart rests between beats. A certain person's blood pressure is modeled by the function $$p(t)=115+25 \sin (160 \pi t)$$ where \(p(t)\) is the pressure in \(\mathrm{mmHg}\) at time \(t,\) measured in minutes. (a) Find the amplitude, period, and frequency of \(p .\) (b) Sketch a graph of \(p\) . (c) If a person is exercising, his heart beats faster. How does this affect the period and frequency of \(p ?\)

7–52 Find the period and graph the function. $$y=\cot \frac{\pi}{2} x$$

\(21-30=\) Find the terminal point \(P(x, y)\) on the unit circle determined by the given value of \(t .\) $$ t=-\frac{3 \pi}{4} $$

Find the amplitude, period, and phase shift of the function, and graph one complete period. $$ y=-2 \sin \left(x-\frac{\pi}{6}\right) $$

7–52 Find the period and graph the function. $$y=\sec 2 x$$

7–52 Find the period and graph the function. $$y=5 \csc 3 x$$

Find the amplitude, period, and phase shift of the function, and graph one complete period. $$ y=3 \cos \left(x+\frac{\pi}{4}\right) $$

The terminal point \(P(x, y)\) determined by a real number \(t\) is given. Find \(\sin t, \cos t,\) and \(\tan t\) $$ \left(-\frac{1}{3},-\frac{2 \sqrt{2}}{3}\right) $$

\(21-30=\) Find the terminal point \(P(x, y)\) on the unit circle determined by the given value of \(t .\) $$ t=\frac{11 \pi}{6} $$