Formulas
This equation, the Pythagorean Theorem, is named after the famous Greek mathematician.
What is a^2+b^2=c^2?
This function is the inverse of an exponent.
What is a logarithm?
This trick allows you to use your appendages to calculate sine and cosine quickly.
What is the hand trick?
This abbreviation can be used to remember the uses for sine, cosine, and tangent.
What is SOHCAHTOA?
10 mg of a substance has a half life of 8 years. This many milligrams is left after 16 years.
What is 2.5 mg?
This fundamental equation is known as the quadratic formula.
What is (-b+-√b^2-4ac)/2a?
This equivalent expression converts the equation logbx=y to an exponential formula.
What is b^y=x?
In this quadrant all sine values are negative, while all cosine values are positive.
What is Quadrant IV?
This is the cofunction of sine.
What is cosine?
A truck drives uphill at a 30 degree angle and its elevation increases 400 feet. This number is the distance the truck drove to the nearest foot.
What is 800 feet?
This Pythagorean identity includes cotangent and cosecant.
What is 1+cot^2x=csc^2x?
The equation logx=y has an asymptote here.
What is x=0?
This is the tangent of 𝝿/4.
What is 1?
The reciprocal of the sine function is also known as this.
A carousel makes 4 complete revolutions. The carousel rotated this many radians in total.
What is 8𝝿 radians?
This equation is introduced in topic 6.1 and is known as the Law of Sines.
What is sinA/a=sinB/b=sinC/c?
This is the transformation from logx=y to (1/2)logx=y
What is a vertical shrink by 1/2?
This is the sine of 180 degrees.
What is 0?
The equation cosx=y crosses the y-axis at this coordinate.
What is (0,1)?
An airline averages 8000 customers at a ticket price of 30 dollars. For each 1 dollar increase in price, the airline loses 50 passengers. This equation represents this relationship. (Do not simplify)
What is 8000-50(x-30)?
This is the product to sum formula for a product of sinA and cosB.
What is 1/2[sin(A+B)+sin(A-B)]?
This equation can be used to change the base of a logarithm in a calculator.
What is logab=(logcb)/(logca)?
This is the reference angle for a triangle made by a 1485 degree rotation
What is 45 degrees?
This is the period of the equation y=tanx
What is 𝝿.
There is a lighthouse that is 425 feet tall. The angle of depression, from the top of the light house, looking at a ship in the distance is 52 degrees. This number is the distance between the ship and the light house to the nearest foot.
What is 332 feet?