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Magazine 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 60
find the reference angle for each angle. $$ -\frac{13 \pi}{3} $$
Problem 60
The seats of a Ferris wheel are 40 feet from the wheel's center. When you get on the ride, your seat is 5 feet above the ground. How far above the ground are you after rotating through an angle of \(765^{\circ} ?\) Round to the nearest foot.
Problem 60
Use a vertical shift to graph one period of the function. $$y=-3 \sin 2 \pi x+2$$
Problem 60
Use a calculator to find the value of the acute angle \(\theta\) in radians, rounded to three decimal places. $$ \sin \theta=0.9499 $$
Problem 60
Find a positive angle less than \(360^{\circ}\) or \(2 \pi\) that is coterminal with the given angle. $$ -160^{\circ} $$
Problem 61
use reference angles to find the exact value of each expression. Do not use a calculator. $$ \cos 225^{\circ} $$
Problem 61
Use a sketch to find the exact value of each expression. $$ \cos \left[\tan ^{-1}\left(-\frac{2}{3}\right)\right] $$
Problem 61
Find a positive angle less than \(360^{\circ}\) or \(2 \pi\) that is coterminal with the given angle. $$ -765^{\circ} $$
Problem 61
Use a calculator to find the value of the acute angle \(\theta\) in radians, rounded to three decimal places. $$ \tan \theta=0.4169 $$
