Question

cos60.cos30- sin60.cos30?​

Answer 1

$Value \: of \: cos 60 Cos 30 - sin 60 Cos 30$

$= Cos 30( Cos 60 - sin 60 )$

$= \Big( \frac{\sqrt{3}}{2} \Big) \Big(\frac{1}{2} - \frac{\sqrt{3}}{2}\Big) \\= \Big( \frac{\sqrt{3}}{2} \Big) [ \frac{1-\sqrt{3}}{2} ] \\= \frac{ \sqrt{3} - 3 }{4}$

Therefore.,

$\red{Value \: of \: cos 60 Cos 30 - sin 60 Cos 30}\\\green { = \frac{ \sqrt{3} - 3 }{4} }$

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