91Ó°ÊÓ

Use a calculator to evaluate the expression. Round your result to two decimal places. $$\arcsin (-0.75)$$

Evaluate (if possible) the six trigonometric functions at the real number. $$t=2 \pi / 3$$

Sketch the graph of the function. (Include two full periods.) $$y=\frac{1}{2} \sec \pi x$$

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

Find the values of the six trigonometric functions of \(\boldsymbol{\theta}\) with the given constraint. $$\begin{aligned} &\cos \theta=\frac{8}{17}\\\ &\tan \theta<0 \end{aligned}$$

Describe the relationship between the graphs of \(f\) and \(g .\) Consider amplitude, period, and shifts. $$\begin{aligned} &f(x)=\sin x\\\ &g(x)=\sin 3 x \end{aligned}$$

Construct an appropriate triangle to find the missing values. \(\left(0^{\circ} \leq \theta \leq 90^{\circ}, 0 \leq \theta \leq \pi 2\right)\). $$\begin{array}{llll}\text { Function } & \boldsymbol{\theta}(\mathbf{d e g}) & \boldsymbol{\theta}(\mathbf{r a d}) & \text { Function Value } \\\ \\\\\mathrm{tan} & & \frac{\pi}{3} & \end{array}$$

Evaluate (if possible) the six trigonometric functions at the real number. $$t=5 \pi / 6$$

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

Sketch the graph of the function. (Include two full periods.) $$y=-2 \sec 4 x+2$$