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formsheet1 - Formula Sheet for Math 135 First Exam The...

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Formula Sheet for Math 135, First Exam The Quadratic Formula If a 6 = 0, then the solutions to the equation ax 2 + bx + c = 0 are given by the formula x = - b ± b 2 - 4 ac 2 a . Exact Trigonometric Values Function \ θ 0 π/ 6 π/ 4 π/ 3 π/ 2 sin θ 0 1 / 2 2 / 2 3 / 2 1 cos θ 1 3 / 2 2 / 2 1/2 0 tan θ 0 3 / 3 1 3 undefined Sum and Difference Formulas sin( α + β ) = sin( α ) cos( β ) + cos( α ) sin( β ) sin( α - β ) = sin( α ) cos( β ) - cos( α ) sin( β ) cos( α + β ) = cos( α ) cos( β ) - sin( α ) sin( β ) cos( α - β ) = cos( α ) cos( β ) + sin( α ) sin( β ) Obscure Trigonometric Functions cot θ = cos θ/ sin θ , (cot x ) 0 = - csc 2 x . csc θ = 1 / sin θ , (csc x ) 0 = - csc x cot x . Exponential Growth and Compounding A quantity is said to undergo exponential growth if the amount P ( t ) at time t is given by a function of the form P 0 e kt
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