Вычислите сумму S=sin61∘+sin62∘+sin63∘+⋅⋅⋅+sin687∘+sin688∘+sin689∘.S={{\sin }^{6}}{{1}^{\circ }}+{{\sin }^{6}}{{2}^{\circ }}+{{\sin }^{6}}{{3}^{\circ }}+\cdot \cdot \cdot +{{\sin }^{6}}{{87}^{\circ }}+{{\sin }^{6}}{{88}^{\circ }}+{{\sin }^{6}}{{89}^{\circ }}.S=sin61∘+sin62∘+sin63∘+⋅⋅⋅+sin687∘+sin688∘+sin689∘.