## Math Formulas It Helps to Remember

There are some concepts that you will continue to use as you advance in math. Here are a few formulas you will use regularly and will want to commit to memory.

### Midpoint Formula

When you need to find the midpoint of a line, use this formula to determine the coordinates.

### Logarithms

You should understand logarithms and how to rewrite them.

asks

*b* to what power (

*y*) will result in

*x*. You can rewrite it as:

.
When

*x* is a product of two different numbers, it may be easier to solve if you remember the following formula:

### Average Speed

To find the average speed, use the formula distance over time.

### Percentages

To find

*x* percent of a number (

*n*),

To find what percent a number (

*n*) is of another number (

*m*),

And finally,

*n* is

*x* percentage of what number?

### SOHCAHTOA

To find the sine, cosine, and tangent of an angle, remember SOHCAHTOA.
Sine= Opposite/Hypotenuse
Cosine= Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
Opposite is the side of the triangle directly opposite the angle in question. Adjacent is the side of the triangle next to the angle that is not the hypotenuse. The hypotenuse is the longest side of the triangle.
It is also useful to know the reciprocals.
Cosecant is the reciprocal of sine= Hypotenuse/Opposite
Secant is the reciprocal of cosine= Hypotenuse/Adjacent
Cotangent is the reciprocal of tangent= Adjacent/Opposite
And finally, the square of an angles sine plus the square of an angle's cosine is 1 and the tangent is the quotient of the sine and cosine.

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