Question

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

Answer 1

The simplification is done below.

Explanation:

`(\sin((\pi)/(6))\cos((\pi)/(4)) - \sin((\pi)/(4))\cos((\pi)/(6)))^(2)`

=
`((1)/(2) * (1)/(√(2)) - (1)/(√(2)) * (√(3))/(2))^(2)`

=
`(((1)/(2√(2))) * (1 - √(3)))^(2)`

=
`0.125 * (1 - (2 * √(3)) +3)`