Discussion
The value of \(\sin 5^{o}\sin 10^{o}\sin 15^{o}\sin 20^{o}...\sin 240^{o}\) is equal to
Answer: E
The product is 0.
The angles run 5°, 10°, 15°, ..., 240° in steps of 5°, so 180° is one of them. Since \(\sin 180^{\circ} = 0\), the whole product is 0.
The other options are of the form produced by product formulas for sines of angles below 90°; they would apply only if no factor vanished. Spotting a zero factor first is the quick route here.
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