Find the area of each sector given its central angle $\theta$ and the radius of the circle. Round to the nearest tenth. $\theta=82^{\circ}, r=7.3$

Use a graphing calculator to graph the sine and cosine functions on the same set of axes for $D \leq x \leq 2 \pi .$ Use the graphs to find the values of x, if any, for which each of the following is true. $\sin x \cos x \leq 0$

The current I measured in amperes that is flowing through an alternating current at any time t in seconds is modeled by $I=220 \sin \left(60 \pi t-\frac{\pi}{6}\right)$. Find the current when t = 60.

The current I measured in amperes that is flowing through an alternating current at any time t in seconds is modeled by $I=220 \sin \left(60 \pi t-\frac{\pi}{6}\right)$. What is the phase shift of this sine function?

The current I measured in amperes that is flowing through an alternating current at any time t in seconds is modeled by $I=220 \sin \left(60 \pi t-\frac{\pi}{6}\right)$. What is the period of the current?

The current I measured in amperes that is flowing through an alternating current at any time t in seconds is modeled by $I=220 \sin \left(60 \pi t-\frac{\pi}{6}\right)$. What is the amplitude of the current?

Write an equation of the cosine function with each amplitude and period. amplitude = 17.9, period = 16

Find the area of each sector given its central angle $\theta$ and the radius of the circle. Round to the nearest tenth. $\theta=225^{\circ}, r=6$

Determine the linear velocity of a point rotating at an angular velocity of 19.2 radians per second at a distance of 7 centimeters from the center of the rotating object.

Use a graphing calculator to graph the sine and cosine functions on the same set of axes for $D \leq x \leq 2 \pi .$ Use the graphs to find the values of x, if any, for which each of the following is true. $\sin x \cos x>1$

Solve $10+\sqrt{k-5}=8$.

Find each value. $\operatorname{Cos}^{-1}\left(\tan \frac{\pi}{4}\right)$

Write an equation of a sine function with amplitude 5, period $3 \pi,$ phase shift $-\pi$ and vertical shift -8.

A wire is used to hang a painting from a nail on a wall as shown at the right. The tension on each half of the wire is equal to half the downward force times $\sec \frac{\theta}{2}$. As the measure of $\theta$ becomes greater, what happens to the tension on each side of the wire?