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The Angle Addition Identities (4.09). Thanks to: Mr Richardson Lexington High School. a. a. a. a. a. a. a. a. a. a. a. sin( a) cos (b). a. sin( a) cos (b). sin( b )cos( a ). a. sin( a) cos (b). sin( a+b )=sin( b )cos( a )+. sin( a) cos (b). a. sin( a+b )=sin( b )cos( a )+. - PowerPoint PPT Presentation
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The Angle Addition Identities (4.09)
Thanks to:
Mr Richardson
Lexington High School
1
1
α
1
11
β
α
1
11
sin α
β
α
1
11
cos α
sin α
β
α
1
11
cos α
sin β
sin α
β
α
1
11
cos β
cos α
sin β
sin α
β
α
1
11
sin (α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos
sin( )cos( )
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos sin( )=sin( )cos( )+
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos sin( )=sin( )cos( )+
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos sin( )=sin( )cos( )+
cos( )cos( )
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos sin( )=sin( )cos( )+
cos( )cos( )
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos sin( )=sin( )cos( )+
cos( )cos( ) sin( )sin( )
1
11
cos (α+β)
(sin α+β)
cos β
cos α
sin β
sin α
β
α
sin( cos sin( )=sin( )cos( )+
-sin( )sin( )cos( + )=cos( )cos( )
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