Name the Trig Function
Trig Ratios
Trig Vocabulary
Paint me a Picture
Triangle Similarity
Factoring Quadratics
100
This trig function uses the ratio of the opposite over hypotenuse.
What is SINE?
100
What is the value of x? 
Sin(53)=35/x
x=43.8
100
The side opposite the right angle of a right triangle.
What is the hypotenuse?
100
Draw two similar triangles (labeling all side lengths) with a scale factor of 2.
Raise your hand when you have your answer.
Teacher will verify.
100
What are the 3 Triangle Similarity Theorems (Criteria)?
AA, SAS, SSS
100
Are (x+5)(2x-3) factors of x2+7x-15?
No, (x+5)(2x-3)=2x2+7x-15
200
This trig function uses the ratio of the opposite over adjacent.
What is TANGENT?
200
What is the length of BC?
cos(70)= BC/5
BC = 1.71
200
What is the only type of triangle you can use trig ratios with?
What is a right triangle?
200
Draw a picture then solve.
A 80 foot tall tree casts a 24 foot shadow on the ground.
At the same time of day, a 6 foot tall person casts a shadow that is how long?
80/24=6/x
x=1.8 ft
200
These triangles are similar. What is the value of x?
24/21=16/x
x=14
200
What are the factors of x2-11x+24
(x-8)(x-3)
300
This trig function uses the ratio of the adjacent over hypotenuse.
What is COSINE?
300
What is the measure of the missing angle?
Sin(a)=24/25
or
Cos(a)=7/25
or
Tan(a)=24/7
a=73.74
300
Draw a picture or explain.
How do you know which sides are opposite and adjacent?
Opposite is across from theta
Adjacent is next to theta
300
Draw a graph with a vertex at (-2,-4) and roots that are 4 units apart.
Roots at (-4,0) and (0,0).
300
Are the triangles similar? If so, what theorem (criteria) would prove these triangles are similar?
Yes, SAS
300
What are the factors of 2x2+16x+24
2(x+6)(x+2)
400
Use this trig function when you do not have the hypotenuse but you have the other two sides.
What is TANGENT?
400
Find the missing angle measure.
Sin(a)=76/95
or
Cos(a)=57/95
or
Tan(a)=76/57
a=53.13 degrees
400
The greek letter used to represent a missing angle measure.
Theta
400
Draw a picture and solve.
Mr. Fowler places a laser on the ground and shines it on the side of a building 100 feet away. If he holds the laser at a 20 degree angle, how far up the wall will it shine?
Tan(20)=x/100
x=36.4 feet up the wall
400
The two triangles are similar. What is the length of DE? AND What theorem (criteria) would prove similarity?
DE=27
SSS
400
What are the factors of -3x2-21x+90
-3(x-10)(x+3)
500
What trig function do you use to find a missing angle when you have the ratio of the opposite over the hypotenuse?
Sine Inverse
500
Solve for the measure of angle B.
Cos(B)=5/9
B = 56.25 degrees
500
The 2 acute angles in a right triangle total how many degrees _________
90 degrees
500
Draw a picture and solve.
An equilateral triangle has side lengths of 10 units. What is the height of the triangle.
Sin(60)=x/10
or
Tan(60)=x/5
x=8.66 units
500
The two triangles are similar. What is the length of EC? (solve for x)
15/AC=5/10
AC=30
EC=AC-10
EC=20
500
What are the factors of 9x2-64
(3x-8)(3x+8)