Chapter 1: Problem 103
In Exercises 103 and \(104,\) use the properties of inverse trigonometric functions to evaluate the expression. $$ \cos [\arccos (-0.1)] $$
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In Exercises \(35-38\), use a graphing utility to graph the function and determine the one-sided limit. $$ \begin{array}{l} f(x)=\frac{1}{x^{2}-25} \\ \lim _{x \rightarrow 5^{-}} f(x) \end{array} $$
Find the point of intersection of the graphs of the functions. $$ \begin{array}{l} y=\arcsin x \\ y=\arccos x \end{array} $$
In Exercises 129 and \(130,\) verify each identity (a) \(\operatorname{arccsc} x=\arcsin \frac{1}{x}, \quad|x| \geq 1\) (b) \(\arctan x+\arctan \frac{1}{x}=\frac{\pi}{2}, \quad x>0\)
Determine conditions on the constants \(a, b,\) and \(c\) such that the graph of \(f(x)=\frac{a x+b}{c x-a}\) is symmetric about the line \(y=x\).
Write the expression in algebraic form. \(\cos \left(\arcsin \frac{x-h}{r}\right)\)
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