Question

sin(π) / 4 × cos(π) / 3 – ctg(3 × π) / 2 × sin(π) /2

Answer 1

$sin( frac{pi}{4} ) cos( frac{pi}{3} ) - cot( frac{3pi}{2} ) sin( frac{pi}{2} ) = frac{ sqrt{2} }{2} frac{1}{2} = frac{ sqrt{2} }{4} = frac{1}{2 sqrt{2} }$