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Chapter 4: Problem 83
Determine whether the statement is true or false. Justify your answer. $$\frac{\sin 60^{\circ}}{\sin 30^{\circ}}=\sin 2^{\circ}$$
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Complete the equation.
$$\arccos \frac{x-2}{2}=\arctan (\text{_____}), \quad 2
Use a graphing utility to graph the function. Use the graph to determine the behavior of the function as \(x \rightarrow c\) (a) \(x \rightarrow\left(\frac{\pi}{2}\right)^{+}\) (b) \(x \rightarrow\left(\frac{\pi}{2}\right)^{-}\) (c) \(x \rightarrow\left(-\frac{\pi}{2}\right)^{+}\) (d) \(x \rightarrow\left(-\frac{\pi}{2}\right)^{-}\) $$f(x)=\tan x$$
Fill in the blank. If not possible, state the reason. $$\text { As } x \rightarrow 1^{-}, \text {the value of } \arccos x \rightarrow\text { _____ } .$$
Use a graphing utility to graph the function. Use the graph to determine the behavior of the function as \(x \rightarrow c\). (a) As \(x \rightarrow 0^{+},\) the value of \(f(x) \rightarrow\) (b) As \(x \rightarrow 0^{-},\) the value of \(f(x) \rightarrow\) (c) As \(x \rightarrow \pi^{+},\) the value of \(f(x) \rightarrow\) (d) As \(x \rightarrow \pi^{-},\) the value of \(f(x) \rightarrow\) $$f(x)=\csc x$$
Determine whether the statement is true or false. Justify your answer. $$\sin \frac{5 \pi}{6}=\frac{1}{2} \quad \rightarrow \quad \arcsin \frac{1}{2}=\frac{5 \pi}{6}$$
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