1206-Log_Exponential_Prop

1206-Log_Exponential_Prop - e lnm = m for all positive real...

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Properties of logarithms: Assuming each of the following logarithms exist: 1) ln(ab) = lna + lnb 2) ln a b = lna - lnb 3) lna b = blna (Note: These properties are true for log b x, for any base b, not just for natural logs.) Properties of exponents: 1) e a + b = e a e b 2) e a - b = e a e b 3) e ab = (e a ) b (These properties are true for all exponential functions with any base.) Since y = ln x and y = e x are inverses of each other: 1) lne m = m for all real numbers m 2)
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Unformatted text preview: e lnm = m for all positive real numbers m Sine and Cosine of the standard Angles Some Trigonometric Identities 6 4 3 2 3 2 2 sin x 1 2 1 2 3 2 1-1 cos x 1 3 2 1 2 1 2-1 1 tan x 1 3 1 3 und . und . sin 2 x + cos 2 x = 1 sec x = 1 cos x csc x = 1 sin x cot x = 1 tan x sin 2 x = 1-cos(2 x ) 2 cos 2 x = 1 + cos(2 x ) 2 Note: 1 2 = 2 2 and 1 3 = 3 3...
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