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16-05-2018
Mathematics

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Use a sum or difference formula to find the exact value of

Sin 11pi/12 cos 2pi/3 - cos 11pi/12 sin2pi/3

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crisforp crisforp

16-05-2018

We obtain sin( 11pi/12 - 2pi/3 ) = sin( 11pi/12 - 8pi/12 ) = sin( 3pi/12) = sin(pi/4) = [tex] \frac{ \sqrt{2} }{2} ;[/tex] (ave the formula sinxcosy - cosxsiny = sin(x-y));

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