Sec 1.1 - Angles
Sec 1.2 - Angle Relationships and Similar Triangles
1.3 - Trigonometric Functions
Sec 1.4 - Using the Definitions of Trigonometric Functions
Random
100
State the type of angle(s) and solve for x
Supplementary angles, x=7
100
Use the following triangle to explain the triangle inequality theorem.
if
angleA>angleB>angle C, then BC>AC>AB
100
What are the 6 trigonometric functions and their ratios in X, Y and R
sintheta=y/r, csctheta=r/y
costheta=x/r, sectheta=r/x
tantheta=y/x, cot theta=x/y
100
How do the reciprocal identities help us remember all 6 trig functions?
Take the reciprocal of sin, cos, and tan to get csc, sec and cot
100
List as many digits of pi as you can without error.
3.1415926535 8979323846 2643383279
200
Find the least positive angle coterminal with 699 degrees
339 degrees
200
List the corresponding angles and sides:
Sides:
HK~FE, GH~GF, GK~GE
Angles:
angleK~angleE, angle H~angleF, angleEGF~angleKGH
200
Given the point
(-2sqrt3,2)
Draw a triangle in the right quadrant with all 3 side and the angle labeled.
-quadrant 2
connected to the origin and x axis
-angle at origin inside triangle
y=2, x=-2sqrt3, r=4
200
Explain 'All Students Take Calculus' or give a detailed image of what its trying to explain.
All positive in quad 1, sin positive quad 2, tan positive quad 3, cos positive quad 4
200
how many planets are there? Name them
8 - Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
Womp womp Pluto.
300
Give 2 positive and 2 negative angles coterminal to 100 degrees
Expected answers: 460, 820, -260, -620
300
Find the missing sides
a=30, b=60
300
Find a point to make the system work and create sin, cos and tan
6x-5y=0, x>=0
P(5,6), r=sqrt61, sintheta=(6sqrt61)/61, costheta=(5sqrt61)/61, tantheta=6/5
300
What quadrant are we in if
csc(theta)<0 and cot(theta)>0
Quadrant 3
300
What is the a)travel distance from SF to NY and b) time it would take at speed limit
Travel distance: 2900 miles
Time: 42 Hours
400
Explain and draw a picture of how positive and negative angle rotations are applied to a graph.
Positive rotations go counter clockwise and negative go clockwise
400
A house is 15ft tall has a shadow of 100ft. at the same time a nearby building has a shadow of 150 ft. How tall is it?
h=22.5 or 45/2
400
Find x and z
x=6, y=6sqrt5
400
Which of these are possible:
1. sintheta=1
2. tantheta=0.9
3. csctheta=-100
4. costheta=1.96
1. Yes
2. Yes
3. Yes
4. No
400
Draw your best cow.
Moo.
500
What are the 4(or 5) angle types created by the below image. Explain the property of the relationship.
Alternate Interior: Congruent
Alternate Exterior: Congruent
Consecutive Interior: Supplementary
Corresponding: Congruent
bonus: Vertical Angles: Congruent
500
Find y:
y=12
500
Find the indicated function value:
csc(270)
-1
500
Find all 6 trig functions given tantheta=sqrt5/3 in quadrant 3
sintheta=sqrt70/14,costheta=(3sqrt14)/14, tantheta=sqrt5/3
500
Answer the riddle:
"The man who invented it, doesn't want it for himself. The man who bought it, doesn't need it for himself. The man who needs it, doesn't know when he needs it."
A Coffin