Using the Unit Circle
Evaluating Trig Functions
Word Problems
Graphing Trig Functions
100
sin(225) (Pretend there's a degree sign. It won't let me put it in.)
-sqrt(2)/2
100
Let (3,4) be a point on the terminal side of angle a. Find the value of csc(a). Then find the measure of angle a.
csc(a)=5/4
a=53.13 degrees
100
You are standing 50 ft away from the base of a tree. The measure of the angle from the ground where you're standing to the top of the tree is 50 degrees. How tall is the tree?
59.59 ft
100
y=2sin(x)
200
sec((13pi)/6)
(2sqrt3)/3
200
Let (-5, 8) be a point on the terminal side of angle b. Find the value of sec(b) and the measure of angle b.
sec(b)=-sqrt89/5
200
A 12-foot ladder leans up against a wall such that the distance from the wall to the base of the ladder is 5 feet. What angle is the ladder making with the ground?
65.38 degrees
200
y=cos(2x)+1
300
tan((-2pi)/3)
sqrt3
300
Given that angle c lies in Quadrant II and that sin(c)=1/4, find the value of cot(c).
cot(c)=-sqrt15
300
MOHLER MOMENT
1. What year did Mr. Mohler graduate high school?
2. What was Mr. Mohler's favorite Disney Channel show back in the day?
3. Would you still take my math class if I was a worm?
1. 2020
2. Good Luck Charlie
3. No. I would not be able to teach if I was a worm.
300
y=-3cos(x-pi/2)
400
Find all the angles on the unit circle for which this is true:
arccos(-1/2)
(2pi)/3,(4pi)/3
400
Evaluate (assuming an angle in Q1)
cot(cos^-1(6/7))
(6sqrt13)/13
400
An airplane is preparing to land at the airport. The airplane is flying at an altitude of about 1200 feet and is approximately 13,700 feet diagonally from the touchdown point on the runway. What angle does the approach path make with the runway?
5.01 degrees
400
y=-2sin(1/2x)+1
500
Find all the angles on the unit circle for which this is true:
tan^-1(0)
0 and 180 degrees
500
Evaluate
sin(arcsec((3x)/5))
sqrt(9x^2-25)/(3x)
500
A surveyor stands on level ground 120 meters from the base of a hill. The angle of elevation to the top of the hill is 25°. The surveyor then walks 60 meters closer to the hill, and the angle of elevation is now 40°.
Find the height of the hill.
62.9 meters
500
MOHLER MOMENT
Are you familiar with my culture?
1. Why's James cryin?
2. What's 9+10?
3. Happy Birthday Raven! "__ _______ _______."
4. Road work ahead.......
1. Cause he just got dunked on
2. 21
3. "I can't swim"
4. Uh, yeah. I sure hope it does.