Angles + Radian Measure
trigonometric functions of any angle
right triangle
law of sines and cosines
Exponents and Logs
100
how many degrees are in a right angle?
90 degrees
100
what is the sine of a 30 degree angle?
0.5
100
what does SOH stand for in SOHCAHTOA
Sine equals Opposite over Hypotenuse
100
What do the Law of Sines and cosines help you with in a triangle?
The Law of Sines and cosines helps you find unknown sides or angles in a triangle when you have enough information. It’s especially useful in non-right triangles.
100
3x=16 - Solve for x
log316=x
200
how many degrees are in a full circle?
360 degrees
200
what is the cosine of a 60 degrees angle?
0.5
200
if the angle of elevation of a ladder leaning against a wall is 30 degrees and the ladder is 10 meters long, how high up the wall does it reach?
the ladder is 5 meters up the wall
200
Write down Law of Sines
SinA/a = Sin B/b = Sin C/c
200
If I invest $5000 into an account compounding daily at a rate of 6% for 20 years, how much money will I have?
$16,599
300
if an angle measures 45 degrees, what are its measurements in radians?
3.14/4 radians
300
what is the tangent of a 45 degree angle?
1
300
with the angles 60 degrees and the hypotenuse of 10 units find the length of the side opposite to the 60 degree angle
the side opposite of 60 degree is 5 sq root 3 units
300
Write down the law of cosines
(opposite side)2=(side 1)2+(side 2)2-2(side 1)(side 2)Cos(Opposite angle)
300
How many times a year does an account compound if it compounds continuously?
Infinitely
400
convert 120 degrees to radians
120 degrees is equal to 2(3.14)/3 radians
400
if the sine of an angle is 0.8 what is the angle's measurement in degrees
53.13 degrees
400
one leg of a right triangle of 8 units and the length of the hypotenuse of 10 units find the acute angle opposite of the 8 unit leg
approximately 53.13 degrees
400
Find the missing side length
22.5
400
How long will it take for me to get $60,000 if I invest $3000 into an account with 12% interest that compounds quarterly?
a little more than 25 years
500
if an angle has a measurement of 3.14/6 radians, what is its measurement in degree?
3.14/6 radians is equal to 30 degrees
500
if the tangent of an angle is 2, what are the possibilities of the measurements of the angle in degrees
the possible measures are 63.43 and 116.57 degrees
500
Find the missing angle
35.5 degrees
500
What is the Law of Sines formula
The Law of Sines formula is 𝑎sin𝐴=𝑏sin𝐵=𝑐sin𝐶sinAa=sinBb=sinCc. This means that the ratio of a side length to the sine of its opposite angle is the same for all sides in a triangle.
500
What is the number e? Where does it come from?
2.178... As you compound $100 as your principal more frequently, the rate at which it grows changes as a product of ex