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Definitions of sine, cosine and tangent
Sine = Opposite over Hypotenuse, Cosine = Adjacent over Hypotenuse, and Tangent = Opposite over Adjacent. SOH-CAH-TOA Some Old Horses Can Always Hear Their Owner Approaching
Order of operations
Parenthesis, Exponents, Multiplication & Division, Addition & Subtraction. In order from left to right. Multiplication then division which ever one comes first then, addition and subtraction which ever one comes first. PEMDAS "Please excuse my dear Aunt Sally"
Order of taking the derivative of a quotient
(high/low)' = (low * high' - high * low')/low2 "lo-di-hi minus hi-di-lo all over lo squared", lo = low, hi = high, di = derivative "Low d high, Less high d low, Draw the line, O'er squared be low."
Pi (π)
3,14159... An excellent rational approximation of π is obtained by noting that 1 / π ≈ 1 1 3 / 3 5 5 .
Trigonometric functions
Trigonometric functions that are positive in each quadrant, beginning with the top right and continuing counterclockwise: All, sine, tangent, cosine All Students Take Calculus
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