91Ó°ÊÓ

Height A ladder that is 20 feet long leans against the side of a house. The angle of elevation of the ladder is \(80^{\circ} .\) Find the height from the top of the ladder to the ground.

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

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

Use a calculator to evaluate the expression. Round your result to two decimal places. \(\arccos 0.37\)

Evaluating sine, Cosine, and Tangent In Exercises \(13-22,\) evaluate (if possible) the sine, cosine, and tangent at the real number. $$t=-\frac{3 \pi}{2}$$

Determining a Quadrant. State the quadrant in which \(\theta\) lies. $$\sin \theta>0 \text { and } \cos \theta<0$$

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

Evaluating sine, Cosine, and Tangent In Exercises \(13-22,\) evaluate (if possible) the sine, cosine, and tangent at the real number. $$t=-2 \pi$$

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

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