Sin^2(5pi/3)-cos^2(7pi/4)+√3tan2pi/3

Question

Sin^2(5pi/3)-cos^2(7pi/4)+√3tan2pi/3

Answer 1

Sin²π/3-cos²π/4-√3tgπ/3=(√3/2)²-(√2/2)²-√3*√3=3/4-2/4-3=1/4-3=-3 3/4