Question

Sin30°×cos30°+sin60°× cos 30°

Answer 1

${\red{\huge{\mathcal{Hey}}}}$

$\sin(30) = \frac{1}{2} \\ \cos(30) = \frac{ \sqrt{3} }{2} \\ \sin(60) = \frac{ \sqrt{3} }{2}$

now solving:

$\frac{1}{2} \times \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} = \frac{ \sqrt{3} }{4} + \frac{3}{4} \\ = \frac{ \sqrt{3 \: +(3)} }{4} = \frac{ \sqrt{3( \sqrt{3 + 1)} } }{4}$