Question

The value of (sin 30° + cos 30°) – (sin 60° + cos 60°) is ______.

Answer 1

The value of (sin 30° + cos 30°) – (sin 60° + cos 60°) is 0.

Explanation:

`sin 30^circ = 1/2, cos 30^circ = sqrt(3)/2`

`sin 60^circ = sqrt(3)/2, cos 60^circ = 1/2` 

So (sin 30° + cos 30°) – (sin 60° + cos 60°)

= `(1/2 + sqrt(3)/2) - (sqrt(3)/2 + 1/2)` 

= `(1 + sqrt(3))/2 - (sqrt(3) + 1)/2` 

= 0