Units 1-4 Review
Basic Trig Functions
Law of Sines
Law of Cosines
Math Trivia
100
Supplementary angles add up to be ______.
180 degrees
100
Describe SOHCAHTOA
Sine=opposite/hypotenuse
Cosine=adjacent/hypotenuse
Tangent=opposite/adjacent
100
State the Law of Sines
sin(A)/a = sin(B)/b= sin(C)/c
100
State the Law of Cosines.
a^2=b^2+c^2-2bc*cos(A)
100
A number is divisible by 9 if the sum of its digits is divisible by _____.
9
200
If lines l and m are parallel, what are the measures of angles a and b?
a=60
b=120
200
What is the tangent of a right triangle with legs of 18 and 24 and a hypotenuse of 30?
Round your answer to the nearest hundredth.
1.33
200
The Law of Sines will work when you have what pieces of information?
2 angle measures and any side length,
two side lengths and the non included angle
200
What information do you need to use the Law of Cosines?
SAS or SSS
200
What is the first number to contain the letter A when spelled out?
One Thousand
300
Construct the perpendicular bisector of a line segment.
(on paper)
300
A right triangle has an acute angle of 54 degrees, with the side opposite that angle being 87. What is the length of the side adjacent to the 54 degree angle?
Round your answer to the nearest tenth.
63.2
300
Name one way to find area using the Law of Sines.
A=1/2bc*sin(A)
300
When using the Law of Cosines, the missing line segment must be located _________ of the given angle measure.
opposite
300
The numbers on the opposite sides of a standard 6-sided dice always add up to be what?
7
400
Name 3 characteristics of a rhombus.
opposite sides are parallel
opposite angle are congruent
all sides are congruent
400
Find the missing side length:
15.9
400
Use the Law of Sines to find side length x.
8
400
Use the Law of Cosines to solve for the missing side length:
6.67
400
How many squares are on a chessboard?
64
500
Give the slope of the lines parallel and perpendicular to the line:
y=-2/3x+5
-2/3 and 3/2
500
How tall is the tree?
32.9 feet
500
As a ship approaches a dock, it forms a 70 degree angle between the dock and the lighthouse. At the lighthouse, an 80 degree angle is formed between the dock and the ship. How far is the ship from the dock if the dock and the lighthouse are 5 miles apart?
5.2 miles
500
In triangle ABC, b=23, c=18, and A=173. Find the missing side and angles.
a=40.9, B=4.5, C=2.5
500
What is the only number that is twice the sum of its digits?
18