# Trigonometry Homework #9 due 5-4

Graph the following functions.

1. $y=\sec\left[\frac{1}{2}\left(x+\frac{\pi}{3}\right)\right]$

2. $y=2\sec{x}+3$

3. $y=\frac{\csc(\pi{x})}{2}$

4. $y=\csc\left(x-\frac{\pi}{4}\right)$

5. $y=\cot(2\pi{x})-1$

# Calculus Homework #9 Due 5-4

Evaluate each limit.

1. $\lim_{x \to 1}\frac{\ln{x}}{x^2-1}$

2. $\lim_{t \to\pi}\frac{\sin^2{t}}{t-\pi}$

3. $\lim_{x \to 0}\left ( \frac{1}{x}-\frac{1}{\sin{x}} \right )$

4. $\lim_{x \to 0^+}x^a\ln{x},\;a>0$

# Trigonometry Classwork 4-24

Consider the unit circle…

Recall that each central angle measure corresponds to a terminal point, expressed as x- and y-coordinates. For example, the terminal point of 270° is (0,-1). Define a function that models this relationship and graph it in degrees. Then graph it in radians.

After you’ve drawn your graphs, check out the applets here. Are any of them demonstrating the function that you just graphed? What’s the name of that function?

# Trigonometry Homework #8 due 4-27

1. The area of a circle is $72\textup{cm}^2$. Find the area of a sector of this circle that subtends a central angle of $\frac{\pi}{6}$ radians.

2. The area of a sector of a circle with a central angle of 2 radians is $16\textup{m}^2$. Find the radius of the circle.

3.

How fast is the wheel turning? How fast is Will running?

# Trigonometry Test Review Solutions

1.
a. $\frac{\sqrt{2}}{2}$

b. $\frac{\sqrt{3}}{3}$

c. -1

d. -2

e. -1

2. 45

3. $\frac{-13}{12}$

4. unknown angle is 43 degrees, unknown sides are 18 feet and 13 feet

5. 39

6. The fire is 182.3 miles from station A and 128.7 miles from station B.

# more triangle trigonometry questions

1. Calculate the area of a regular octagon inscribed in a unit circle.
2. In quadrilateral ABCD, AB=3, BC=4, CD=5, and DA=6. The length of diagonal BD is 7. Calculate the length of the other diagonal.
3. From the top of an observation post that is 90 meters high, a ranger sights a campsite at an angle of depression of 10°. Turning in a different direction, the ranger sees another campsite at an angle of depression of 13°. The angle between these two sight lines is 35°. How far apart are the campsites?