Cos (п/6 - п/2) - sin (п + п/3)

Question

Cos (п/6 - п/2) - sin (п + п/3)

Answer 1

Cos(-(π/2 - π/6))+sin(π/3)=cos(π/2 - π/6) + (√3/2)=

=sin(π/6) + (√3/2)=(1/2) + (√3/2)= (1+√3)/2