Question

I’m not very sure how to simplify the two bottom rows, can someone help me?

Answer 1

Answer:

The simplification is done below.

Step-by-step explanation:

$(\sin(\frac{\pi}{6})\cos(\frac{\pi}{4}) - \sin(\frac{\pi}{4})\cos(\frac{\pi}{6}))^{2}$

=  $(\frac{1}{2} \times \frac{1}{\sqrt{2}} - \frac{1}{\sqrt{2}} \times \frac{\sqrt{3}}{2})^{2}$

=$((\frac{1}{2\sqrt{2}}) \times (1 - \sqrt{3}))^{2}$

= $0.125 \times (1 - (2 \times \sqrt{3}) +3)$