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Chapter 1: Problem 70
Convert the angle measure from radians to degrees. Round to three decimal places. $$-0.57$$
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In Exercises 19-34, use a calculator to evaluate the expression. Round your result to two decimal places. $$ \arcsin (-0.75) $$
$$ \text { In Exercises 49-58, find the exact value of the expression. } $$ $$ \sec \left[\arctan \left(-\frac{3}{5}\right)\right] $$
In calculus, it is shown that the area of the region bounded by the graphs of \(y=0\), \(y=1 /\left(x^{2}+1\right), x=a\), and \(x=b\) is given by Area \(=\arctan b-\arctan a\) (see figure). Find the area for the following values of \(a\) and \(b\). (a) \(a=0, b=1\) (b) \(a=-1, b=1\) (c) \(a=0, b=3\) (d) \(a=-1, b=3\)
In Exercises 43-48, use the properties of inverse trigonometric functions to evaluate the expression. $$ \cos [\arccos (-0.1)] $$
True or False? Determine whether the statement is true or false. Justify your answer. The inverse sine function \(y=\arcsin x\) cannot be defined as a function over any interval that is greater than the interval defined as \(-\pi / 2 \leq y \leq \pi / 2\).
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