If cos -33 cos 2-33 cos 4-33 cos 8-33 cos 16-33 cos - 1m- then m -

cosπ33 . cos2 π33 . cos4 π33 . cos8 π33 . cos16 π33 = sin 25 π/3325 sinπ/33 (standard Result) = sin 32 π/3332 sinπ/33 = sin (π/33)32 sinπ/33 = sin ...

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Standard XII

Mathematics

Graph of Trigonometric Ratios

If cos π33 ...

Question

If $cos \frac{π}{33} cos \frac{2 π}{33} cos \frac{4 π}{33} cos \frac{8 π}{33} cos \frac{16 π}{33} cos = \frac{1}{m}$ , then m =

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Solution

$cos \frac{π}{33} . cos \frac{2 π}{33} . cos \frac{4 π}{33} . cos \frac{8 π}{33} . cos \frac{16 π}{33} = \frac{sin 25 π / 33}{25 sin π / 33}$
(standard Result)
$= \frac{sin 32 π / 33}{32 sin π / 33} = \frac{sin (π / 33)}{32 sin π / 33}$
$= \frac{sin π / 33}{32 sin π / 33}$
$= \frac{1}{32}$

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If cosπ33cos2π33cos4π33cos8π33cos16π33cos=1m, then m =

cosπ33.cos2π33.cos4π33.cos8π33.cos16π33=sin25π/3325sinπ/33(standard Result)=sin32π/3332sinπ/33=sin(π/33)32sinπ/33=sinπ/3332sinπ/33=132

If $cos \frac{π}{33} cos \frac{2 π}{33} cos \frac{4 π}{33} cos \frac{8 π}{33} cos \frac{16 π}{33} cos = \frac{1}{m}$ , then m =