126FormulasSpring08

126FormulasSpring08 - Math 126 Spring 2008 Formula Sheet for Final Examination GEOMETRY Sector of a Circle r = radius θ = radian measure of angle

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Unformatted text preview: Math 126 - Spring 2008 Formula Sheet for Final Examination GEOMETRY Sector of a Circle: r = radius θ = radian measure of angle s = length of curved side A = area A = 1 2 r 2 θ ; s = rθ Sphere: r = radius A = surface area V = volume A = 4 πr 2 ; V = 4 3 πr 3 Right Circular Cylinder: r = radius h = height A = area of curved surface V = volume A = 2 πrh ; V = πr 2 h TRIGONOMETRIC FUNCTIONS Values of Trigonometric Functions at Impor- tant Angles: degrees radians sine cosine tangent 1 30 π/ 6 1 / 2 √ 3 / 2 1 / √ 3 45 π/ 4 1 / √ 2 1 / √ 2 1 60 π/ 3 √ 3 / 2 1 / 2 √ 3 90 π/ 2 1- 180 π- 1 270 3 π/ 2- 1- 360 2 π 1 Trigonometric Identities: csc θ = 1 sin θ cot θ = cos θ sin θ sec θ = 1 cos θ tan θ = sin θ cos θ cot θ = 1 tan θ sin(- θ ) =- sin θ sin( π 2- θ ) = cos θ cos(- θ ) = cos θ cos( π 2- θ ) = sin θ tan(- θ ) =- tan θ tan( π 2- θ ) = cot θ sin 2 θ + cos 2 θ = 1 1 + tan 2 θ = sec 2 θ 1 + cot 2 θ = csc 2 θ sin( x ± y ) = sin x cos y ± cos x sin y cos( x ± y ) = cos x cos y ∓ sin x sin y tan( x ± y ) = tan x ± tan y 1 ∓ tan x tan y sin x cos y = 1 2 [sin( x- y ) + sin( x + y )] sin x sin y = 1 2 [cos( x- y )- cos( x + y )] cos x cos y = 1 2 [cos( x- y ) + cos( x + y )] sin2 x = 2sin x cos x cos2 x = cos 2 x- sin 2 x = 2cos 2 x- 1 = 1- 2sin 2 x tan2 x = 2 tan x 1- tan 2 x sin 2 ( x/ 2) = 1 2 (1- cos...
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This note was uploaded on 04/06/2009 for the course MATH 126 taught by Professor Mikulevicius during the Spring '07 term at USC.

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126FormulasSpring08 - Math 126 Spring 2008 Formula Sheet for Final Examination GEOMETRY Sector of a Circle r = radius θ = radian measure of angle

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