In this exercise, use a calculator to find the value of the trigonometric function to four decimal places.

$$\tan 3.4$$

Graph the function.

y=1+sec x

Rewrite $\dfrac{1}{n}\sec^2\left(1 + \dfrac{1}{n}\right) + \dfrac{1}{n}\sec^2\left(1 + \dfrac{2}{n}\right) + \dfrac{1}{n}\sec^2\left(1 + \dfrac{3}{n}\right) + \ldots + \dfrac{1}{n}\sec^2\left(1 + \dfrac{n}{n}\right)$ using sigma notation. Do not evaluate.

For the following, graph each side of the equation to find the zeroes on the interval $[0,2 \pi)$.

$$\sec ^2 x-2 \sec x=15$$

Consider a right rectangular prism:

a. Edge AF is perpendicular to (makes right angles with) which of these? (The bar notation is common for line segments.)

edge FE, or $\overline{F E} \quad$ edge AD, or $\overline{A D} \quad$ edge AB, or $\overline{A B}$

segment AG, or $\overline{A G} \quad$ segment BF, or $\overline{B F} \quad$ segment FH, or $\overline{F H}$

b. Name the endpoints of three edges that are parallel to edge AD.

For the following exercise,

Find the exact value.

$$\sec \left(\frac{3 \pi}{8}\right)$$

For the following exercise,

Find the exact value of each trigonometric function.

$$\cos \frac{\pi}{2}$$

What products would you expect to obtain from the reaction of benzene with the following reagents? (a) $\left(\mathrm{CH}_3\right)_3 \mathrm{CCl}, \mathrm{AlCl}_3$ (b) $\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{COCl}, \mathrm{AlCl}_3$

Jesse drove from Los Angeles to Las Vegas, a distance of $463 \mathrm{~km}$. He used $12 \mathrm{gal}$ of gas on the trip. Find the gas mileage in miles per gallon of Jesse's car. (Hint: $1 \mathrm{~km} \approx 0.62 \mathrm{~mi})$

Solve each equation for x, where x in [0, 2pi].

a) sec x csc x - 2 csc x = 0

b) 3 sec ^2 x - 4 = 0

c) 2 sin x sec x - 2 square root of 3 sin x = 0

d) 2 cot x + sec^2 x = 0

e) cot x csc^2 x = 2 cot x

f) 3 tan^3 x - tan x = 0

How many electrons does it take to have a total charge of - 1 C?

Find $y^{\prime}$.

$$y=e^{x \sec x}$$

Integrate

$$\int \sec x \tan x d x$$

In this exercise, find the exact value of the following trigonometric function:

$$\cos \frac{2 \pi}{3}$$