Question

упростите выражение 3sin(pi-α)*cos(pi/2-α)+3sin^2(pi/2-α)

Answer 1

$displaystyle 3sin(pi- alpha )*cos(frac{pi}{2}- alpha )+3sin^2(frac{pi}{2}- alpha )=\ 3sin alpha *sin alpha +3cos^2 alpha =3sin^2 alpha +3cos^2 alpha =\ 3(sin^2 alpha +cos^2 alpha )=3$