The value of cos (π)/(2²). cos (π)/(2³)..... cos (π)/(2¹⁰). sin (π)/(2¹⁰) is -

Trigonometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Jan, Evening shift · Q5676

JEE Main 201910 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002

The value of

\cos {\pi \over {{2^2}}}.\cos {\pi \over {{2^3}}}\,.....\cos {\pi \over {{2^{10}}}}.\sin {\pi \over {{2^{10}}}}

is -

JEE Main 2019 · 10 Jan, Evening shift · Q5676

JEE Main 201910 Jan, Evening shiftMathematicsMediumTrigonometry118× since 2002

The value of

\cos {\pi \over {{2^2}}}.\cos {\pi \over {{2^3}}}\,.....\cos {\pi \over {{2^{10}}}}.\sin {\pi \over {{2^{10}}}}

is -