2 sin ((π/22)) sin ((3 π/22)) sin ((5 π/22)) sin ((7 π/22)) sin ((9 π/22)) is equal to

Question

2 sin ((π/22)) sin ((3 π/22)) sin ((5 π/22)) sin ((7 π/22)) sin ((9 π/22)) is equal to (A) (3/16) (B) (1/16) (C) (1/32) (D) (9/32)

Tardigrade Admin · Accepted Answer

2 sin ((π/22)) sin ((3 π/22)) sin ((5 π/22)) sin ((7 π/22)) sin ((9 π/22)) 2 cos ((π/2)-(π/22)) cos ((π/2)-(3 π/22)) cos ((π/2)-(5 π/22)) cos ((π/2)-(7 π/15)) cos ((π/2)-(9 π/22)) 2 cos ((10 π/22)) cos ((8 π/22)) cos ((6 π/22)) cos ((4 π/22)) cos ((2 π/22)) 2 cos ((π/11)) cos ((2 π/11)) cos ((3 π/11)) cos ((4 π/11)) cos ((5 π/11)) 2 cos ((π/11)) cos ((2 π/11)) cos ((4 π/11)) cos (π-(3 π/11)) cos (π+(5 π/11)) 2 cos ((π/11)) cos ((2 π/11)) cos ((4 π/11)) cos ((8 π/11)) cos ((16 π/11)) (2 ⋅ sin (25 × (π/11))/25 sin (π)11) (2 ⋅ sin ((32 π/11))/32 sin (π)11)=(1/16)

Q. $2 sin (\frac{π}{22}) sin (\frac{3 π}{22}) sin (\frac{5 π}{22}) sin (\frac{7 π}{22}) sin (\frac{9 π}{22})$ is equal to

$\frac{3}{16}$

$\frac{1}{16}$

$\frac{1}{32}$

$\frac{9}{32}$

Q. 2sin(22π​)sin(223π​)sin(225π​)sin(227π​)sin(229π​) is equal to

163​

161​

321​

329​

Q. $2 sin (\frac{π}{22}) sin (\frac{3 π}{22}) sin (\frac{5 π}{22}) sin (\frac{7 π}{22}) sin (\frac{9 π}{22})$ is equal to

$\frac{3}{16}$

$\frac{1}{16}$

$\frac{1}{32}$

$\frac{9}{32}$