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Problem 60

Use a vertical shift to graph one period of the function. $$y=-3 \sin 2 \pi x+2$$

Problem 60

An object in simple harmonic motion has a frequency of \(\frac{1}{4}\) oscillation per minute and an amplitude of 8 feet. Write an equation in the form \(d=a\) sin \(\omega t\) for the object's simple harmonic motion.

Problem 60

In Exercises \(47-62,\) use a sketch to find the exact value of each expression. $$\sec \left[\sin ^{-1}\left(-\frac{\sqrt{2}}{2}\right)\right]$$

Problem 60

A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of the pole. Find the angle between the wire and the pole to the nearest degree.

Problem 60

Find a positive angle less than \(360^{\circ}\) or \(2 \pi\) that is coterminal with the given angle. $$-160^{\circ}$$

Problem 60

In Exercises \(35-60,\) find the reference angle for each angle. $$-\frac{13 \pi}{3}$$

Problem 60

The angle of elevation from the top of a house to a jet flying 2 miles above the house is \(x\) radians. If \(d\) represents the horizontal distance, in miles, of the jet from the house, express \(d\) in terms of a trigonometric function of \(x .\) Then graph the function for \(0

Problem 61

Use a calculator to find the value of the trigonometric function to four decimal places. $$\sin 0.8$$

Problem 61

In Exercises \(61-86,\) use reference angles to find the exact value of each expression. Do not use a calculator. $$\cos 225^{\circ}$$

Problem 61

If you are given the lengths of the sides of a right triangle, describe how to find the sine of either acute angle.

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