Definitions, Please
Rigged Trig
Breaking Angles
Law Enforcement
Grab Bag
100
This trigonometry ratio relates the adjacent and hypotenuse sides
What is cosine?
100
Calculate the value of sin 27o (round to the nearest thousandth)
sin 27o = 0.454
100
tan-1(tan (θ) ) =
= θ
100
Write the formula for the Law of Cosines when solving for side a.
What is a2 = b2 + c2 - 2bc*Cos(A)?
100
What vocabulary describes the relationship between angles 2 and 8?
alternate interior angles
200
This trigonometry ratio relates the opposite and hypotenuse sides
What is sine?
200
DD! Using trigonometry, solve the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.8
200
What is the inverse sine of (23.8/29)? (round to the nearest hundredth)
inverse sine = 51.15 degrees
200
This the proportion for solving for side c using Law of Sines.
What is sin(45)/c = sin(70)/15?
200
Determine the contrapositive of the statement:
"If a figure is a square, then it is a rectangle."
"If a figure is not a rectangle, then it is not a square."
300
This is the proportion that forms the Law of Sines.
sinA/a = sinB/b = sinC/c
-or-
a/sinA = b/sinB = c/sinC
300
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 Tan 54 = x
x = 6.9m
300
DD!
In △CAB, m∠A=90°. Determine m∠B when...
CB=12.8 and AB=3.9.
(round to the nearest thousandth)
Cos-1 (3.9/12.8) = 72.261
300
Solve for the length of BC: round to the nearest tenth.
21.5
300
What is the locus H called?
Orthocenter
400
What is trigonometry
The study of triangles, angles, and sides
"the branch of mathematics concerned with specific functions of angles and their application to calculations."
400
Using trigonometry, calculate the value for x:
Sin 28 = opp / hyp
Sin 28 = x / 50
50 Sin 28 = x
x = 23.5m
400
What angle does the rocket have to fly at to reach the rocket base 300 km above Earth?
Tan θ = 300 / 90
θ = Tan -1 ( 300 / 90 )
θ = 73 degrees
400
Solve for side BC to the nearest hundredth.
What is 14.47?
400
Solve for the indicated angle;
? = 58
500
The step taken in solving equations algebraically to undo an operation
inverse
500
If sin = opp/hyp AND cos = adj/hyp, then what does sin/cos equal?
What is tangent OR (opp/adj)?
500
A woman is standing in a glass elevator looking out at the ground. The angle of depression between her and a statue on the ground is 52°.
The statue is 46 feet from the ground exit of the elevator. If each story is 9 feet high, what floor is the woman and the elevator on?
6.5th floor/story (?)
500
Solve for x; round to the nearest whole degree.
34 degrees
500
DD! Solve for y;
y=16