MTABLE - Mathematical Tables Trigonometric Identities tan...

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Mathematical Tables Trigonometric Identities tan( α ) = [sin( α )]/cos( α ) cosec ( α ) = 1/sin( α ) sec( α ) = 1/cos( α ) cot( α ) = 1/tan( α ) sin( α ) = cos(90 o - α ) = sin(180 o - α ) cos( α ) = sin(90 o - α ) = - cos(180 o - α ) tan( α ) = cot(90 o - α ) = - tan(180 o - α ) 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 ) tan( α + β ) = [tan( α ) + tan( β )]/[1 - tan( α ) tan( β )] tan( α - β ) = [tan( α ) - tan( β )]/[1 + tan( α ) tan( β )] sin( α ) cos( β ) = (1/2) [sin( α + β ) + sin( α - β )] sin( α ) sin( β ) = (1/2) [cos( α - β ) - cos( α + β )] cos( α ) cos( β ) = (1/2) [cos( α + β ) + cos( α - β )] cos( α ) sin( β ) = (1/2) [sin( α + β ) - sin( α - β )] sin (2 α ) = 2 sin( α ) cos( α ) = [2 tan( α )]/[1 + tan 2 ( α )] cos(2 α ) = 2 cos 2 ( α ) - 1 = 1 - 2 sin 2 ( α ) = cos 2 ( α ) - sin 2 ( α ) = [ 1 - t a n 2 ( α )]/[1 + tan 2 ( α )] tan(2 α ) = [2 tan( α )]/[1 - tan 2 ( α )] sin(3 α ) = 3 sin( α ) - 4 sin 3 ( α ) cos(3 α ) = 4 cos 3 ( α ) - 3 cos( α ) tan(3 α ) = [3 tan( α ) - tan 3 ( α )]/[1 - 3 tan 2 ( α )] sin(4 α ) = 4 sin( α ) cos( α ) - 8 sin 3 ( α ) cos( α ) cos(4 α ) = 8 cos 4 ( α ) - 8 cos 2 ( α ) + 1 tan(4 α ) = [4 tan( α ) - 4 tan 3 ( α )]/[1 - 6 tan 2 ( α ) + tan 4 ( α )] sin 2 ( α ) = (1/2) [1 - cos(2 α )] = 1 - cos 2 ( α )
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This note was uploaded on 08/09/2010 for the course ECE ECE 405 taught by Professor Jameskang during the Summer '10 term at Cal Poly Pomona.

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MTABLE - Mathematical Tables Trigonometric Identities tan...

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