Ответ:
\(\sin\frac{\pi}{6}=\frac{1}{2}\), а \(\cos\frac{\pi}{6}=\frac{\sqrt{3}}{2}\).
\(\sin\frac{\pi}{6}+\cos^2\frac{\pi}{6}=\frac{1}{2}+\left(\frac{\sqrt{3}}{2}\right)^2=\frac{1}{2}+\frac{3}{4}=\frac{5}{4}\).
Ответ: \(\frac{5}{4}\).
\(\sin\frac{\pi}{6}=\frac{1}{2}\), а \(\cos\frac{\pi}{6}=\frac{\sqrt{3}}{2}\).
\(\sin\frac{\pi}{6}+\cos^2\frac{\pi}{6}=\frac{1}{2}+\left(\frac{\sqrt{3}}{2}\right)^2=\frac{1}{2}+\frac{3}{4}=\frac{5}{4}\).
Ответ: \(\frac{5}{4}\).