Question

упростите выражение sin(3*π-e)*cos(e*3*π/2)-2*atg(π/2-e)*cos(π/2+e)*sin(e-3*π/2)

Answer 1

$sin(3 pi -e)*cos(e- frac{3 pi }{2} )-2ctg( frac{ pi }{2} -e)*cos( frac{ pi }{2} +e)*sin(e- frac{3 pi }{2} )= \ sine*cos( frac{3 pi }{2} -e)-2tge*(-sine)*(-sin (frac{3 pi }{2}-e))= \ sine* (-sine)+2tge*sine*cose=-sin^{2}e+ frac{2sine}{cose} *sine*cose= \ -sin^{2}e+2sin^{2}e=sin^{2}e$