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Trigonometric Ratio and Identites question

2020 · 5 Sep · Shift 2 · Q29

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2020 · 5 Sep · Shift 2 · Q29

Trigonometric Ratio and Identites question

2020 · 5 Sep · Shift 2 · Q29

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If L = sin2

\left( {{\pi \over {16}}} \right)

- sin2

\left( {{\pi \over {8}}} \right)

and M = cos2

\left( {{\pi \over {16}}} \right)

- sin2

\left( {{\pi \over {8}}} \right)

, then :

A
L = $- {1 \over {2\sqrt 2 }} + {1 \over 2}\cos {\pi \over 8}$
B
M = ${1 \over {2\sqrt 2 }} + {1 \over 2}\cos {\pi \over 8}$
C
M = ${1 \over {4\sqrt 2 }} + {1 \over 4}\cos {\pi \over 8}$
D
L = ${1 \over {4\sqrt 2 }} - {1 \over 4}\cos {\pi \over 8}$

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