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Chapter 5: Problem 113
Rewrite the expression as a single logarithm and simplify the result. $$\ln |\cos x|-\ln |\sin x|$$
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Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the interval \([0,2 \pi)\). $$x \tan x-1=0$$
Find the \(x\) -intercepts of the graph. $$y=\sec ^{4}\left(\frac{\pi x}{8}\right)-4$$
(a) use a graphing utility to graph the function and approximate the maximum and minimum points on the graph in the interval \([0,2 \pi),\) and (b) solve the trigonometric equation and demonstrate that its solutions are the \(x\) -coordinates of the maximum and minimum points of \(f .\) (Calculus is required to find the trigonometric equation.) Function $$f(x)=\sin x+\cos x$$ Trigonometric Equation $$\cos x-\sin x=0$$
Find the exact value of each expression. (a) \(\sin \left(\frac{7 \pi}{6}-\frac{\pi}{3}\right)\) (b) \(\sin \frac{7 \pi}{6}-\sin \frac{\pi}{3}\)
Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the given interval. $$4 \cos ^{2} x-2 \sin x+1=0, \quad\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$$
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