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Chapter 4: Problem 52
Find the exact value of each trigonometric function. Do not use a calculator. $$\cos \left(-\frac{\pi}{4}-2000 \pi\right)$$
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the graph of \(y=3 \cos 2 x\) to obtain the graph of \(y=3 \csc 2 x\)
Explain how to find the length of a circular arc.
Rounded to the nearest hour, Los Angeles averages 14 hours of daylight in June, 10 hours in December, and 12 hours in March and September. Let \(x\) represent the number of months after June and let \(y\) represent the number of hours of daylight in month \(x .\) Make a graph that displays the information from June of one year to June of the following year.
Use a graphing utility to graph each function. Use a viewing rectangle that shows the graph for at least two periods. $$y=\cot \frac{x}{2}$$
In Chapter \(5,\) we will prove the following identities: $$ \begin{aligned} \sin ^{2} x &=\frac{1}{2}-\frac{1}{2} \cos 2 x \\ \cos ^{2} x &=\frac{1}{2}+\frac{1}{2} \cos 2 x \end{aligned} $$ Use these identities to solve. Use the identity for \(\cos ^{2} x\) to graph one period of \(y=\cos ^{2} x\)
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