91Ó°ÊÓ

Determine the quadrant in which each angle lies. \(\begin{array}{ll}{\text { (a) } 130^{\circ}} & {\text { (b) } 8.3^{\circ}}\end{array}\)

Describing the Relationship Between Graphs, describe the relationship between the graphs of \(f\) and \(g .\) Consider amplitude, period, and shifts. $$ \begin{array}{l}{f(x)=\sin 2 x} \\ {g(x)=3+\sin 2 x}\end{array} $$

Describing the Relationship Between Graphs, describe the relationship between the graphs of \(f\) and \(g .\) Consider amplitude, period, and shifts. $$ \begin{array}{l}{f(x)=\cos 4 x} \\ {g(x)=-2+\cos 4 x}\end{array} $$

Evaluating Trigonometric Functions. Find the values of the six trigonometric functions of \(\theta\) with the given constraint. $$\begin{array}{ll}{\text { Function Value }} & {\text { Constraint }} \\\ {\cos \theta=-\frac{4}{5}} & {\ \theta \ lies \ in \ Quadrant \ III}.\end{array}$$

Sketching the Graph of a Trigonometric Function In Exercises \(15-38\) , sketch the graph of the function. (Include two full periods.) $$y=\csc \frac{x}{3}$$

Altitude You observe a plane approaching overhead and assume that its speed is 550 miles per hour. The angle of elevation of the plane is \(16^{\circ}\) at one time and \(57^{\circ}\) one minute later. Approximate the altitude of the plane.

Evaluating Trigonometric Functions In Exercises \(23-30\) , evaluate (if possible) the six trigonometric functions at the real number. $$t=7 \pi / 4$$

Use a calculator to evaluate the expression. Round your result to two decimal places. \(\arctan 25\)

Determine the quadrant in which each angle lies. (a) \(-132^{\circ} 50^{\prime}\) (b) \(-3.4^{\circ}\)

Evaluating Trigonometric Functions. Find the values of the six trigonometric functions of \(\theta\) with the given constraint. $$\begin{array}{ll}{\text { Function Value }} & {\text { Constraint }} \\\ {\cot \theta=-{3}{}} & {\cos \theta>0}\end{array}$$