Вычислите 1,5+sin^2 30°-cos^2 30°/2sin(-45°)

Question

Вычислите
1,5+sin^2 30°-cos^2 30°/2sin(-45°)

Answer 1

(1,5+sin²30°-cos²30°)/sin(-45°)=(1,5-(cos²30°-sin²30°))/(-sin45°)=(1,5-cos(2*30°))/(-√2/2)=-2*(1,5-cos60°)/√2=-2*(1,5-0,5)/√2=-2√2/(√2*√2)=-√2