ss_6_2

ss_6_2 - Section 6.2 Sum and Difference Formulas This...

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Unformatted text preview: Section 6.2 Sum and Difference Formulas This section contains important trigonometric identities for finding the trigonometric functions of the sums and differences of angles. cos( + ) = cos cos - sin sin cos( - ) = cos cos + sin sin Example. cos15 o = cos(60 o- 45 o ) = cos60 o cos45 o + sin 60 o sin 45 o = ( 1 2 )( 2 2 ) + ( 3 2 )( 2 2 ) = 2 4 + 6 4 = 1 4 ( 2 + 6) Example. cos( 7 12 ) = cos( 3 + 4 ) = cos 3 cos 4- sin 3 sin 4 = ( 1 2 )( 2 2 )- ( 3 2 )( 2 2 ) = 2 4- 6 4 = 1 4 ( 2- 6) sin( + ) = sin cos + cos sin sin( - ) = sin cos - cos sin Example. sin 15 o = sin(45 o- 30 o ) = sin45 o cos30 o- cos45 o sin 30 o = 2 2 3 2- 2 2 1 2 = 6 4- 2 4 = 1 4 ( 6- 2) cos( 2- ) = sin all sin( 2- ) = cos all Validation of above: cos( 2- ) = cos 2 cos + sin 2 sin = (0) cos...
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ss_6_2 - Section 6.2 Sum and Difference Formulas This...

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