How do you express $sin (\frac{π}{12}) \cdot cos (\frac{π}{12})$ $sin(pi/12) * cos(pi/12 )$ without products of trigonometric functions?

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How do you express $sin (\frac{π}{12}) \cdot cos (\frac{π}{12})$ $sin(pi/12) * cos(pi/12 )$ without products of trigonometric functions?

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Answer 1 · 2016-09-18T03:12:22

$\frac{1}{4}$ $1/4$

Explanation:

Use the trig identity: sin 2a = 2sin a.cos a
Trig table of special arcs -->
$sin (\frac{π}{12}) . cos (\frac{π}{12}) = (\frac{1}{2}) sin (\frac{π}{6}) = (\frac{1}{2}) (\frac{1}{2}) = \frac{1}{4}$ $sin (pi/12).cos (pi/12) = (1/2)sin (pi/6) = (1/2)(1/2) = 1/4$

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How do you express $sin (\frac{π}{12}) \cdot cos (\frac{π}{12})$ $sin(pi/12) * cos(pi/12 )$ without products of trigonometric functions?

1 Answer

Explanation:

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How do you express sin(π12)⋅cos(π12)sin(pi/12) * cos(pi/12 ) without products of trigonometric functions?

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How do you express $sin (\frac{π}{12}) \cdot cos (\frac{π}{12})$ $sin(pi/12) * cos(pi/12 )$ without products of trigonometric functions?