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
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100
State the type of angle(s) and solve for x
Supplementary angles, x=7
100
Explain the external angle theorem using the given image:
Since A+B+C=180, and C+D=180,
then A+B+C=C+D --> A+B=D
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
Name the angle relationship, then solve:
Angle relationship: Alternate Interior Angles (AIA)
2x-5=x+22
x=27
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 in order by least distance to the sun.
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 was the best selling game of 2024?
Call of Duty: Fifa Ops 6.
400
Draw a positive and negative angle that are coterminal. Label the initial and terminal sides
something like this:
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 the indicated function value:
csc(-270)
-270 is coterminal with 90. Since 90 is on the y-axis, x=0. Since we are on the positive y-axis, y=r. Csc's ratio is r/y, so the answer is 1.
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
What is the cot(540) ?
540 is coterminal with 180, so there is no y value (on the x-axis). Cotangent is x/y so is therefore undefined.
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