sin 90 ∘ + tan 45 ∘ = 1 + 2 2 2 2 {\displaystyle \sin {90^{\circ }}+\tan {45^{\circ }}=1+{\frac {\frac {\sqrt {2}}{2}}{\frac {\sqrt {2}}{2}}}} 1 + 2 2 2 2 ⋅ 2 = 1 + 2 2 {\displaystyle 1+{\frac {\frac {\sqrt {2}}{\cancel {2}}}{\frac {\sqrt {2}}{\cancel {2}}}}\cdot {\cancel {2}}=1+{\frac {\sqrt {2}}{\sqrt {2}}}} 1 + 2 2 = 1 + 1 = 2 {\displaystyle 1+{\frac {\sqrt {2}}{\sqrt {2}}}=1+1=2}