91Ó°ÊÓ

Graph \(y=e^{\sin x} .\) What is the maximum value of \(e^{\sin x} ?\) What is the minimum value of \(e^{\sin x} ?\) Is the function defined by \(y=e^{\sin x}\) a periodic function? If so, what is the period?

What is the maximum value of \(f(x)=2 \sin x ?[4.3]\)

Each tire on a truck has a radius of 18 inches. The tires are rotating at 500 revolutions per minute. Find the speed of the truck to the nearest mile per hour.

Graph \(y=e^{\cos x} .\) What is the maximum value of \(e^{\cos x} ?\) What is the minimum value of \(e^{\cos x} ?\) Is the function defined by \(y=e^{\cos x}\) a periodic function? If so, what is the period?

Use a graphing utility to graph each function. $$y=2 \sin 2 x-\cos x$$

Use the fundamental trigonometric identities to write each expression in terms of a single trigonometric function or a constant. $$\frac{1}{1-\sin t}+\frac{1}{1+\sin t}$$

What is the minimum value of \(f(x)=3 \cos 2 x ?[4.3]\)

The chain wheel of Emma's bicycle has a radius of 3.5 inches. The rear gear has a radius of 1.75 inches, and the back tire has a radius of 12 inches. If Emma pedals for 150 revolutions of the chain wheel, how far will she travel? Round to the nearest foot. (IMAGE CAN'T COPY).

A tidal wave that is caused by an earthquake under the ocean is called a tsunami. A model of a tsunami is given by \(f(t)=A \cos B t .\) Find the equation of a tsunami that has an amplitude of 60 feet and a period of 20 seconds.

Use the fundamental trigonometric identities to write each expression in terms of a single trigonometric function or a constant. $$\frac{\tan t+\cot t}{\tan t}$$