Definitions
Trig
Inverse Trig
Special Right Triangle
Potpourri
Simplifying radicals
100
What trigonometry ratio is the ratio of the adjacent side's length and the hypotenuse's side length
cosine
100
The 3 trigonometric functions only work with these kinds of triangles. "What are ________ triangles"
What are right triangles
100
What missing parts of a triangle do inverse trig functions help us find?
Angles
100
What is the ratio for the legs of a 45-45-90 triangle?
1 to 1 or 1
100
What is the Pythagorean theorem?
a2+b2=c2
100
sqrt64
8
200
What trigonometry ratio is equal to the ratio of the opposite side to the hypotenuse
Sine
200
What is the sine of 26 rounded to the hundredth's place?
Sin 26 = 0.44
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55.15
200
8sqrt2
200
A 16 foot ladder is leaning against a wall. The angle between the ladder and the wall is 64 degrees. How far up the wall will the ladder reach?
7.01 ft
200
sqrt24
2sqrt6
300
What trig ratio is equal to the ratio of the opposite side to the adjacent side?
tangent
300
Using trigonometry, find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 * Cos 37 = x
x = 8.78
300
In right triangle
CAB, m∠A=90°. Determine m∠B nearest whole degree when CB=12.8 and AB=3.9.
Cos^-1 (3.9/12.8) = 72.26
300
Solve for both missing side lengths
x = 24
y =
12sqrt3
300
In right triangle ABC, AC=9. What is the length of AB?
6sqrt3
300
sqrt27
3sqrt3
400
The name for when two lines intersect at a 90 degree angle
perpendicular
400
Find the value of x (the m stands for meters)
Tan 54 = opp / adj
Tan 54 = x / 5
5 *Tan 54 = x
x = 6.88m
400
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
Tan θ = 300 / 90
θ = Tan -1 ( 300 / 90 )
θ = 73 degrees
400
Ignore the 8 in the box. Solve for x and y.
x = 5.5
5.5sqrt3
400
The conjecture that tells us how many degrees the angles of a triangle add to
Triangle Sum Conjecture
400
sqrt14
sqrt14
500
Name the 3 functions that relate the side lengths of a right triangle to its acute angles
sine, cosine, and tangent
500
Using trigonometry, calculate the value of x:
x=20.35
500
In right triangle ADC, m∠D=90° and AD=5.6, AC=8.4. What is the number of degrees in the angle of depression to the nearest tenth?
sin^-1(5.6/8.4) = 41.81
500
Solve for m and n
(7sqrt2)/2
500
Solve for x
In the diagram above of ∆GED, m∠E=90° and DE=12. Determine the length of FG to the nearest tenth.
17.0
500
sqrt98
7sqrt2