ho_trig_id - ) cos( A + B 2 ) sin( A-B 2 ) • 8) a sin A-b...

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Useful Trig Identities 1) sin( A + B ) = sin A cos B + sin B cos A 2) sin( A - B ) = sin A cos B - sin B cos A 3) cos( A + B ) = cos A cos B - sin A sin B 4) cos( A - B ) = cos A cos B + sin A sin B The following identities can be derived from the above identities, and you should probably do it once to make sure I haven’t made any typos, but it’s not something you want to do all the time - trust me. . . 5) a cos A + b cos B = ( a + b ) cos( A + B 2 ) cos( A - B 2 ) - ( a - b ) sin( A + B 2 ) sin( A - B 2 ) 6) a cos A - b cos B = ( a - b ) cos( A + B 2 ) cos( A - B 2 ) - ( a + b ) sin( A + B 2 ) sin( A - B 2 ) 7) a sin A + b sin B = ( a + b ) sin( A + B 2 ) cos( A - B 2 ) + ( a - b
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Unformatted text preview: ) cos( A + B 2 ) sin( A-B 2 ) • 8) a sin A-b sin B = ( a-b ) sin( A + B 2 ) cos( A-B 2 ) + ( a + b ) cos( A + B 2 ) sin( A-B 2 ) Finally a couple of oddballs. Since these are a pain to derive, you might as well keep them handy. . . • 9) p cos A + q sin A = r sin( A + θ ) where r = √ p 2 + q 2 tan( θ ) = p q • 10) p cos A + q sin A = r cos( A-φ ) where r = √ p 2 + q 2 tan( φ ) = q p...
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This note was uploaded on 11/12/2010 for the course PHYSICS 1B 318007241 taught by Professor Corbin during the Spring '10 term at UCLA.

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