121616949-math.13

# 121616949-math.13 - cos θ = adjacent hypotenuse tan θ =...

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Introduction xiii Geometry Circle: circumference = 2 πr , area = πr 2 . Sphere: vol = 4 πr 3 / 3, surface area = 4 πr 2 . Cylinder: vol = πr 2 h , lateral area = 2 πrh , total surface area = 2 πrh + 2 πr 2 . Cone: vol = πr 2 h/ 3, lateral area = πr r 2 + h 2 , total surface area = πr r 2 + h 2 + πr 2 . Analytic geometry Point-slope formula for straight line through the point ( x 0 , y 0 ) with slope m : y = y 0 + m ( x - x 0 ). Circle with radius r centered at ( h, k ): ( x - h ) 2 + ( y - k ) 2 = r 2 . Ellipse with axes on the x -axis and y -axis: x 2 a 2 + y 2 b 2 = 1. Trigonometry sin( θ ) = opposite / hypotenuse
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Unformatted text preview: cos( θ ) = adjacent / hypotenuse tan( θ ) = opposite / adjacent sec( θ ) = 1 / cos( θ ) csc( θ ) = 1 / sin( θ ) cot( θ ) = 1 / tan( θ ) tan( θ ) = sin( θ ) / cos( θ ) cot( θ ) = cos( θ ) / sin( θ ) sin( θ ) = cos ( π 2-θ ) cos( θ ) = sin ( π 2-θ ) sin( θ + π ) =-sin( θ ) cos( θ + π ) =-cos( θ ) Law of cosines: a 2 = b 2 + c 2-2 bc cos A Law of sines: a sin A = b sin B = c sin C...
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