syudy guide for quiz xxxi

syudy guide for quiz xxxi - Math 116 CALCULUS II QUIZ...

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Math 116 CALCULUS II QUIZ – XXXI (In-Class) STUDY GUIDE November 26 (Tue), 2013 Instructor: Yasuyuki Kachi Line #: 23590. Quiz – XXXI (In-class) is scheduled on Thursday, December 5th. Defnition oF tan x . tan x = sin x cos x . Basic special values For tan x . tan 0 = 0, tan π 6 = 1 3 , tan π 4 = 1, tan π 3 = 3 , tan π 2 = ‘undefned’, tan 2 π 3 = - 3 , tan 3 π 4 = - 1, tan 5 π 6 = - 1 3 , tan π = 0, tan 3 π 2 = ‘undefned’, tan p 2 π P = 0. ±ormula. tan p - x P = - tan x . tan p π 2 - x P = 1 tan x . ±ormula. d dx tan x = 1 p cos x P 2 . Alternatively: ±ormula. d dx tan x = 1 + p tan x P 2 . 1
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Addition Formula for tan x . Knowing sin p x + y P = p sin x Pp cos y P + p cos x sin y P and cos p x + y P = p cos x cos y P - p sin x sin y P , you may fnd tan p x + y P = p sin x cos y P + p cos x sin y P p cos x cos y P - p sin x sin y P , that is, tan p x + y P = p tan x P + p tan y P 1 - p tan x tan y P . Double Angle formula.
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