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2311_T2_Trig_Idents_&_Deriv_Formulas_F11

2311_T2_Trig_Idents_&_Deriv_Formulas_F11 - x x x dx...

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MAC2311 Test 2 Formula Sheet Trigonometric Identities Negative Angle sin( ) sin t t - = - cos( ) cos t t - = Fundamental and Reciprocal sin 1 tan cos cot t t t t = = 1 csc sin t t = sec cos t t = 1 cot cos sin tan t t t t = = 1 Pythagorean sin cos 2 2 1 t t + = 1 2 2 + = tan sec t t 1 2 2 + = cot csc t t Double Angle sin sin cos 2 2 t t t = 2 2 2 2 cos2 cos sin 1 2sin 2cos 1 t t t t t = - = - = - Derivative Formulas x x d e e dx   =   . In general, ln x x d b b b dx   =   . [ ] sin cos d x x dx = [ ] cos sin d x x dx = - [ ] 2 tan sec d x x dx = 1 2 1 sin 1 d x dx x - = - 1 2 1 cos 1 d x dx x - = - - 1 2 1 tan 1 d x dx x - = + [ ] csc
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Unformatted text preview: x x x dx = -[ ] sec sec tan d x x x dx = [ ] 2 cot csc d x x dx = -1 2 1 csc 1 d x dx x x- = - -1 2 1 sec 1 d x dx x x- = -1 2 1 cot 1 d x dx x- = - + ( ) 1 ln d x dx x = for x > and ( ) 1 ln d x dx x = for x ≠ . In general, ( ) 1 log ln a d x dx x a = for x > ....
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