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Problem 4

Find the exact value of each expression, if it is defined. (a) \(\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right) \quad\) (b) \(\cos ^{-1}\left(-\frac{\sqrt{2}}{2}\right) \quad\) (c) \(\tan ^{-1}(-\sqrt{3})\)

Problem 4

Find the reference angle for the given angle. $$ \begin{array}{llll}{\text { (a) } 120^{\circ}} & {\text { (b) }-210^{\circ}} & {\text { (c) } 780^{\circ}}\end{array} $$

Problem 5

Find the radian measure of the angle with the given degree measure. $$ -45^{\circ} $$

Problem 5

Find the exact value of each expression, if it is defined. \(\begin{array}{llll}{\text { (a) } \sin ^{-1}\left(-\frac{1}{2}\right)} & {\text { (b) } \cos ^{-1} \frac{1}{2}} & {\text { (c) } \tan ^{-1}\left(\frac{\sqrt{3}}{3}\right)}\end{array}\)

Problem 5

Find the reference angle for the given angle. $$ \begin{array}{llll}{\text { (a) } 225^{\circ}} & {\text { (b) } 810^{\circ}} & {\text { (c) }-105^{\circ}}\end{array} $$

Problem 6

Find the exact value of each expression, if it is defined. \(\begin{array}{llll}{\text { (a) } \sin ^{-1}(-1)} & {} & {\text { (b) } \cos ^{-1} 1} & {} & {\text { (c) } \tan ^{-1} 0}\end{array}\)

Problem 6

Find the radian measure of the angle with the given degree measure. $$ -60^{\circ} $$

Problem 6

Find the reference angle for the given angle. $$ \begin{array}{llll}{\text { (a) } 99^{\circ}} & {\text { (b) }-199^{\circ}} & {\text { (c) } 359^{\circ}}\end{array} $$

Problem 7

Use a calculator to find an approximate value of each expression rounded to five decimal places, if it is defined. $$ \sin ^{-1}(0.45) $$

Problem 7

Find the radian measure of the angle with the given degree measure. $$ -75^{\circ} $$

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