91Ó°ÊÓ

Convert each of the following to radians without using a calculator. $$ 330^{\circ} $$

These questions are available for instructors to help assess if you have successfully met the learning objectives for this section. Find the amplitude of \(y=-4 \cos (2 x)\). a. \(-2\) b. 2 c. \(-4\) d. 4

For each expression below, write an equivalent algebraic expression that involves \(x\) only. (For Problems 89 through 92 , assume \(x\) is positive.) $$\sin \left(\cos ^{-1} \frac{1}{x}\right)$$

These questions are available for instructors to help assess if you have successfully met the learning objectives for this section. Find the period of \(y=-4 \cos (2 x)\). a. \(4 \pi\) b. \(\frac{\pi}{2}\) c. \(2 \pi\) d. \(\pi\)

For each expression below, write an equivalent algebraic expression that involves \(x\) only. (For Problems 89 through 92 , assume \(x\) is positive.) $$\tan \left(\sin ^{-1} \frac{1}{x}\right)$$

Find the period of \(y=3 \cot \left(\frac{x}{4}\right)\). a. \(\pi\) b. \(4 \pi\) c. \(8 \pi\) d. \(\frac{\pi}{4}\)

For each expression below, write an equivalent algebraic expression that involves \(x\) only. (For Problems 89 through 92 , assume \(x\) is positive.) $$\sec \left(\cos ^{-1} \frac{1}{x}\right)$$

Find the period of \(y=\frac{1}{3} \sec \left(\frac{\pi x}{2}-\frac{\pi}{2}\right)\). a. 4 b. 2 c. \(6 z\) d. \(\frac{\pi}{2}\)

For each expression below, write an equivalent algebraic expression that involves \(x\) only. (For Problems 89 through 92 , assume \(x\) is positive.) $$\csc \left(\sin ^{-1} \frac{1}{x}\right)$$

A mass attached to a spring oscillates upward and downward. The displacement of the mass from its equilibrium position after \(t\) seconds is given by \(d=-4 \cos (2 \pi t)\). How long does it take for the mass to travel from its lowest position to its highest position? a. \(1 \mathrm{sec}\) b. \(0.5 \mathrm{sec}\) c. \(4 \mathrm{sec}\) d. \(2 \mathrm{sec}\)