Question

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

Answer 1

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

=2(√3/2)×√3/2-1/2×1/2

=2√3^2/4-1/4

=2(3/4-1/4)=5/4