Definitions
Trig
Inverse Trig
Think about it
Potpourri
Simplifying radicals
100
What trigonometry ratio is the ratio of the adjacent side's length and the hypotenuse's side length
cosine
100
These are the types of triangles that trig functions work with. "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
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
Sin 26 = 0.4384
200
What is the inverse sine of (23.8/29)
sin^-1(23.8/29)=55.2
200
What is the only trig ratio that can be greater than one? Explain why?
Tangent. The hypotenuse is always the longest side. In sine and cosine the hypotenuse is in the denominator, making every sine and cosine ratio less than one. Tangent is opposite and adjacent and the opposite side can be longer than the adjacent side, making the tangent ratio greater than one in some cases.
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 feet (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 = 8.8
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
Cotangent is the recpirocal of the tangent function. Use critical thinking to determine the cotangent of angle Z
20/21
300
In right triangle ABC below, 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
What is perpendicular
400
Find the value for x (the m stands for meters)
Tan 54 = opp / adj
Tan 54 = x / 5
5 *Tan 54 = x
x = 6.9m
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
What is the area of this triangle? (the 11 is from the blue dotted line to the end)
A = 38.5
400
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
400
sqrt14
sqrt14
500
The functions used to solve for missing sides
sine, cosine, and tangent
500
Using trigonometry, calculate the value for x:
x=20.3
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 x. 
x = 61.4
500
19 feet
500
sqrt98
7sqrt2