Chapter 5: Problem 15
Determine the amplitude, period, and phase shift for each function. $$y=-2 \sin (x+\pi / 3)$$
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Chapter 5: Problem 15
Determine the amplitude, period, and phase shift for each function. $$y=-2 \sin (x+\pi / 3)$$
These are the key concepts you need to understand to accurately answer the question.
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Solve each problem. Eratosthenes Measures the Earth Over 2200 years ago Eratosthenes read in the Alexandria library that at noon on June 21 a vertical stick in Syene cast no shadow. So on June 21 at noon Eratosthenes set out a vertical stick in Alexandria and found an angle of \(7^{\circ}\) in the position shown in the accompanying drawing. Eratosthenes reasoned that since the sun is so far away, sunlight must be arriving at the earth in parallel rays. With this assumption he concluded that the earth is round and the central angle in the drawing must also be \(7^{\circ} .\) He then paid a man to pace off the distance between Syene and Alexandria and found it to be \(800 \mathrm{km}\). From these facts, calculate the circumference of the earth as Eratosthenes did and compare his answer with the circumference calculated by using the currently accepted radius of \(6378 \mathrm{km}\) (IMAGE CANNOT COPY)
Find the approximate value of each expression. Round to four decimal places. $$\sec \left(-0.024^{\circ}\right)$$
Determine the period and sketch at least one cycle of the graph of each function. $$y=\cot (x-\pi / 6)$$
Find the length of the arc intercepted by the given central angle \(\alpha\) in a circle of radius \(r\). $$\alpha=3^{\circ}, r=4000 \mathrm{mi}$$
Determine the amplitude, period, phase shift, and range for the function \(f(x)=\frac{1}{2} \sin (x-\pi / 2)+3\)
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