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Sarah S.
Baylor University Mathematics Major
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Trigonometry
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Question:

How do you find sin, cos, and tan of an angle in a triangle?

Sarah S.

Any easy way to remember the difference between sin, cos, and tan is the acronym SohCahToa. This mean that Sin of an angle is found by taking the value of the Opposite line divided by the Hypotenuse. Cosine of an angle is found by taking the value of the Adjacent line (the one touching the angle) and dividing it by the Hypotenuse. And Tangent of an angle is found by taking the value of the Opposite line and dividing it by the Adjacent line.

Geometry
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Question:

How do you know if two lines are parallel?

Sarah S.

Two lines are parallel if they have the same slope. Algebraically, you can see this in the equation y=mx+b. If the two lines have the same m, then they have the same slope because m=slope. Geometrically, you can find the slope of two lines by taking the difference in the y value and dividing it by the difference in the x value of each line (rise over run) and seeing if they equal each other.

Calculus
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Question:

What is a derivative?

Sarah S.

A derivative is the slope of any curve. When you find the slope at any given point, you are finding the tangent line to that slope. However, you can find the overall equation that gives you this tangent line by finding the limit as x approaches a point, c, of (f(x)-f(c))/(x-c).

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