91Ó°ÊÓ

Find the terminal point \(P(x, y)\) on the unit circle determined by the given value of \(t .\) $$t=\frac{5 \pi}{3}$$

FM Radio Signals The carrier wave for an FM radio signal is modeled by the function $$ y=a \sin \left(2 \pi\left(9.15 \times 10^{7}\right) t\right) $$ where \(t\) is measured in seconds. Find the period and frequency of the carrier wave.

Find the exact value of the expression, if it is defined. $$\tan \left(\tan ^{-1}\left(\frac{3}{2}\right)\right)$$

Find the amplitude and period of the function, and sketch its graph. $$y=-2+\cos 4 \pi x$$

Find the period and graph the function. $$y=\tan \frac{1}{2} x$$

Find the terminal point \(P(x, y)\) on the unit circle determined by the given value of \(t .\) $$t=\frac{2 \pi}{3}$$

Find the period and graph the function. $$y=\tan \frac{\pi}{4} x$$

The terminal point \(P(x, y)\) determined by a real number \(t\) is given. Find \(\sin t, \cos t,\) and \(\tan t\). $$\left(\frac{3}{5}, \frac{4}{5}\right)$$

Find the exact value of the expression, if it is defined. $$\cos ^{-1}\left(\cos \frac{5 \pi}{6}\right)$$

Blood Pressure 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 or her heart beats faster. How does this affect the period and frequency of \(p ?\)