1007_Trig_Identities

1007_Trig_Identities - c o s ( − x ) = c o s ( x ) ( s o...

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T r igonometr ic I dentities s in 2 x + c o s 2 x = 1 Mu lt ip lyin g s in 2 x + c o s 2 x = 1 b y 1 cos 2 x g ive s t a n 2 x + 1 = s e c 2 x Mu lt ip lyin g s in 2 x + c o s 2 x = 1 b y 1 sin 2 x g ive s 1 + c o t 2 x = c s c 2 x Addition For mulas s in ( x + y ) = s in x c o s y + c o s x s in y c o s ( x + y ) = c o s x c o s y s in x s in y Subtr action For mulas s in ( x y ) = s in x c o s y c o s x s in y c o s ( x y ) = c o s x c o s y + s in x s in y Th e s e c a n b e d e r ive d fr o m t h e a d d it io n fo r m u la s a n d t h e kn o wle d g e t h a t s in ( x ) = s in x ( s o s in is a n o d d fu n c t io n ) a n d
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Unformatted text preview: c o s ( − x ) = c o s ( x ) ( s o c o s is a n e ve n fu n c t io n ) . Double Angle For mulas s in 2 x = 2 s in x c o s x c o s 2 x = c o s 2 x − s in x 2 x U s in g t h e kn o wle d g e t h a t s in 2 x +c o s 2 x = 1 , we c a n a ls o d e d u c e t h a t c o s 2 x = 2 c o s 2 x − 1 a n d c o s 2 x = 1 − 2 s in 2 x H alf-Angle For mulas c o s 2 x = 1 + c o s 2 x 2 s in 2 x = 1 − c o s 2 x 2 1...
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This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.

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