Question

what is the value of ( sin 30 + cos 30 ) - ( sin 60 + cos 60 )

Answer 1

$$\begin{gathered} \left(\sin 30°+\cos 30°\right)-\left(\sin 60°+\cos 60°\right) \\ =\left(\frac{1}{2}+\frac{\sqrt{3}}{2}\right)-\left(\frac{\sqrt{3}}{2}+\frac{1}{2}\right) \\ =\left(\frac{\sqrt{3}+1}{2}\right)-\left(\frac{\sqrt{3}+1}{2}\right) \\ =0 \end{gathered}$$