Вычислить tg (arcsin (-3/5)+arccos (-1/корень2))обозначим
α =arcsin(-3/5) ⇒α =arctq(-4/3);
β =arccos(-1/√2) ⇒ β =arctq(-1) = -1 [ β = π -π/4 =3π/4 ]; получается
tq(arcsin(-3/5) +arccos(-1/√2)) = tq(α+β)=
tq(arctq(-4/3) +3π/4) =(tq(arctq(-4/3) +tq(arctq(-1)/(1-tq(arctq(-3/4))*arctq(-1)) =
=(-3/4 -1)/(1 -(-3/4)*(-1)) = -7 .