91Ó°ÊÓ

Evaluating Trigonometric Functions In Exercises \(23-30\) , evaluate (if possible) the six trigonometric functions at the real number. $$t=5 \pi / 6$$

Sketching the Graph of a Trigonometric Function In Exercises \(15-38\) , sketch the graph of the function. (Include two full periods.) $$y=-2 \sec 4 x+2$$

Evaluating Trigonometric Functions. Find the values of the six trigonometric functions of \(\theta\) with the given constraint. $$\begin{array}{ll}{\text { Function Value }} & {\text { Constraint }} \\\ {\cos \theta=-\frac{8}{17}} & {\tan \theta<0}\end{array}$$

Use a calculator to evaluate the expression. Round your result to two decimal places. \(\arccos (-0.7)\)

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

$$ \begin{array}{c}{\text { Evaluating Trigonometric Functions of } 30^{\circ}, 45^{\circ} \text { and }} \\ {60^{\circ} \text { In Exercises } 21-30 \text { , construct an appropriate triangle }} \\ {\text { to find the missing values. }\left(0^{\circ} \leq \theta \leq 90^{\circ}, 0 \leq \theta \leq \pi 2\right)} \\ {\text { Function }\quad \theta(\text { deg }) \quad \theta(\text { rad }) \quad \text { Function Value }}\end{array} $$ $\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \tan\quad \quad \quad $$ $$ \quad\quad\quad\quad\quad$$ \frac{\pi}{3} $$

Evaluating Trigonometric Functions In Exercises \(23-30\) , evaluate (if possible) the six trigonometric functions at the real number. $$t=4 \pi / 3$$

Sketching the Graph of a Trigonometric Function In Exercises \(15-38\) , sketch the graph of the function. (Include two full periods.) $$y=\csc \frac{x}{2}$$

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

Evaluating Trigonometric Functions. Find the values of the six trigonometric functions of \(\theta\) with the given constraint. $$\begin{array}{ll}{\text { Function Value }} & {\text { Constraint }} \\\ {\sin \theta=\frac{3}{15}} & {\ \theta \ lies \ in \ Quadrant \ II}.\end{array}$$