Definitions, Please
Simple Trig
Breaking Angles
Law Enforcement
Grab Bag
100
This trigonometry ratio relates the adjacent and hypotenuse sides
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 is the y-intercept in y=kx+d?
d
200
This trigonometry ratio relates the opposite and hypotenuse sides
Sine
200
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 sin-1(23.8/29)?
(round to the nearest hundredth)
51.15 degrees
200
What is the value for side c?
Hint: Law of Sines
sin(45)/c = sin(70)/15
c = 11.3
200
What determines the steepness of the function y=ax2+bx+c?
a
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
DAILY DOUBLE!
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 3,000 x 700,000 in scientific notation?
2.1 x 109
400
In what quadrants is cosine positive?
1st and 4th
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 x = 300 / 90
x = Tan -1 ( 300 / 90 )
x = 73 degrees
400
Solve for side BC to the nearest hundredth.
14.47
400
How many solutions does the following set of equations have?
y = 3x + 7
-6x = 14 - 2y
Infinite
500
What is sin(α):cos(α)?
tan(α)
500
What is sin2(α) + cos2(α)?
1
500
A woman is standing in a glass elevator looking out at the street on the ground. The angle of depression between her and the street is 52°.
The street is 15 meters from the ground exit of the elevator. If each story is 3 meters high, between what two floors is the woman and the elevator on?
6th and 7th floor
500
Solve for x; round to the nearest whole degree.
34 degrees
500
A is the set of all multiples of 2
B is the set of all multiples of 3
C is the set of all positive integers < 17
What is (A‘ ∩ B) ∩ C?
3, 9, 15