Question

упростите выражение sin(arccos3/5+arcsin8/17)

Answer 1

sin(arccos3/5)cos(arcsin8/17)+cos(arccos3/5)sin(arcsin8/17)=
sin(arcsin(√(1-(3/5)²)))cos(arccos(√(1-(8/17)²)))+3/5*8/17=
sin(arcsin4/5)cos(arccos15/17)+24/85=4/5*15/17+24/85=60/85+24/85=84/85