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Question
Mathematics
Continued product cos α cos 2 α cos 22 α cos 2 n -1 α <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/43ada9be9046d498cfa119d24f8ba533-.png /> Where, n ∈ I (Integer) The value of sin ((π/14)) sin ((3 π/14)) sin ((5 π/14)) sin ((7 π/14)) sin ((9 π/14)) sin ((11 π/14)) sin ((13 π/14)) is -

Q. Continued product $cos α cos 2 α cos 2^{2} α$ $cos 2^{n - 1} α$

Where, $n \in I$ (Integer)
The value of $sin (\frac{π}{14}) sin (\frac{3 π}{14}) sin (\frac{5 π}{14}) sin (\frac{7 π}{14}) sin (\frac{9 π}{14}) sin (\frac{11 π}{14}) sin (\frac{13 π}{14})$ is -

100 146 Trigonometric Functions Report Error

A

1

B

$\frac{1}{8}$

C

$\frac{1}{32}$

D

$\frac{1}{64}$

Solution:

Correct answer is (d) $\frac{1}{64}$