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Evaluate the following question no.2 sin 60° cos 30°-cos 60° sin 30°​

Answer»

Step-by-step EXPLANATION:

\sin(60)  \cos(30)  -  \cos(60)  \sin(30)  \\  =  \frac{ \sqrt{3} }{2}  \times    \frac{ \sqrt{3} }{2}  -  \frac{1}{2}  \times  \frac{1}{2}  \\  =   \frac{ { (\sqrt{3}) }^{2} }{ {2}^{2} }  -  \frac{1}{ {2}^{2} }  \\  =  \frac{3}{4}  -  \frac{1}{4}  \\  =  \frac{3 - 1}{4}  \\  =  \frac{2}{4}  \\  =  \frac{1}{2}  \:  \:  \:  \: ans.



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