First slide

Trigonometric transformations

Question

$\frac{(\cos α - \cos 3 α) (\sin 8 α + \sin 2 α)}{(\sin 5 α - \sin α) (\cos 4 α - \cos 6 α)} =$

Moderate

A

1
B

-1
C

2
D

-2

Solution

$\frac{2 \sin 2 α \sin α 2 \sin 5 α \cos 3 α}{2 \cos 3 α \sin 2 α 2 \sin 5 α \sin α} = 1$

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