6. $\cos ^{2} \frac{\pi}{12}-\cos ^{2} \frac{5 \pi}{12}=$
参考答案D
2021_全国乙卷 (2021·文)
6. $\cos ^{2} \frac{\pi}{12}-\cos ^{2} \frac{5 \pi}{12}=$
答案:
D
解析:
$\cos ^{2} \frac{\pi}{12}-\cos ^{2} \frac{5 \pi}{12}=\cos ^{2} \frac{\pi}{12}-\cos ^{2}\left(\frac{\pi}{2}-\frac{\pi}{12}\right)=\cos ^{2} \frac{\pi}{12}-\sin ^{2} \frac{\pi}{12}=\cos \frac{\pi}{6}=\frac{\sqrt{3}}{2} \therefore$ 选D.