91Ó°ÊÓ

For Problems \(21-24,\) find the exact value of the circular function (no decimals). $$\sin \frac{\pi}{3}$$

Find the exact degree measure of the angle given in radians (no decimals). Use the most time-efficient method. \(\pi\) radians

Sketch the sinusoid described and write a particular equation for it. Check the equation on your grapher to make sure it produces the graph you sketched. The frequency is \(\frac{1}{10}\) cycle per degree, amplitude equals 2 units, phase displacement (for \(y=\cos \theta)\) equals \(-3^{\circ},\) and the sinusoidal axis is at \(y=-5\) units.

For Problems \(21-24,\) find the exact value of the circular function (no decimals). $$\cos \frac{\pi}{4}$$

For Problems \(21-24,\) find the exact value of the circular function (no decimals). $$\tan \frac{\pi}{6}$$

Find the exact degree measure of the angle given in radians (no decimals). Use the most time-efficient method. \(\frac{3 \pi}{2}\) radians

Find the exact degree measure of the angle given in radians (no decimals). Use the most time-efficient method. $$\frac{5 \pi}{6} \text { radians }$$

Find the degree measure in decimal form of the angle given in radians. 0.34 radians

The unit for the period of a sinusoid is degrees per cycle. The unit for the frequency is cycles per degree. a. Suppose that a sinusoid has period \(\frac{1}{60}\) degree/cycle. What would the frequency be? Why might people prefer to speak of the frequency of such a sinusoid rather than the period of this sinusoid? b. For \(y=\cos 300 \theta,\) what is the period? What is the frequency? How can you calculate the frequency quickly, using the \(300 ?\)

For Problems \(25-28,\) find the period, amplitude, phase displacement, and sinusoidal axis location. Use these features to sketch the graph. Confirm your graph by plotting the sinusoids on your grapher. $$y=3+2 \cos \frac{\pi}{5}(x-4)$$