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Chapter 4: Problem 27
Use a calculator to evaluate the expression. Round your result to two decimal places. $$\sin ^{-1} 0.31$$
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Define the inverse cosecant function by restricting the domain of the cosecant function to the intervals \([-\pi / 2,0)\) and \((0, \pi / 2],\) and sketch the graph of the inverse trigonometric function.
Use a graphing utility to graph the functions \(f(x)=\sqrt{x}\) and \(g(x)=6\)
arctan \(x .\) For \(x>0,\) it appears that \(g>f .\) Explain why you know that
there exists a positive real number \(a\) such that \(g
Graph the functions \(f\) and \(g .\) Use the graphs to make a conjecture about the relationship between the functions. $$f(x)=\sin ^{2} x, \quad g(x)=\frac{1}{2}(1-\cos 2 x)$$
Sketch a graph of the function and compare the graph of \(g\) with the graph of \(f(x)=\arcsin x\). $$g(x)=\arcsin (x-1)$$
Sketch a graph of the function. $$f(x)=\frac{\pi}{2}+\arctan x$$
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