First slide

Trigonometric Identities

Question

$(1 + \cos \frac{π}{8}) (1 + \cos \frac{2 π}{8}) (1 + \cos \frac{3 π}{8}) (1 + \cos \frac{8 π}{8}) (1 + \cos \frac{5 π}{8}) (1 + \cos \frac{6 π}{8}) (1 + \cos \frac{7 π}{8})$

Moderate

A

0
B

1
C

2
D

3

Solution

one of term is $(1 + \cos \frac{8 π}{8}) = (1 - 1) = 0$
product of terms is 0

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