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If \( \mathrm{L}=\sin ^{2}\left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right) \) and \( \mathrm{M}=\cos ^{2}…

Q1

If \( \mathrm{L}=\sin ^{2}\left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right) \) and \( \mathrm{M}=\cos ^{2} \)\( \left(\frac{\pi}{16}\right)-\sin ^{2}\left(\frac{\pi}{8}\right) \), then


[JEE Main 2020, 5 Sep (Shift 2)]

a

\( \mathrm{L}=-\frac{1}{2 \sqrt{2}}+\frac{1}{2} \cos \frac{\pi}{8} \)

b

\( M=\frac{1}{2 \sqrt{2}}+\frac{1}{2} \cos \frac{\pi}{8} \)

c

\( \mathrm{M}=\frac{1}{4 \sqrt{2}}+\frac{1}{4} \cos \frac{\pi}{8} \)

d

\( \mathrm{L}=\frac{1}{4 \sqrt{2}}-\frac{1}{4} \cos \frac{\pi}{8} \)

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