Find the value of ∑k=025sin(30+90k)∘.\sum_{k=0}^{25}\sin(30+90k)^\circ.k=0∑25sin(30+90k)∘. A000B12\frac1221C32\frac{\sqrt3}{2}23D111E1+32\frac{1+\sqrt3}{2}21+3F1+31+\sqrt31+3