How do you express $cos (\frac{π}{3}) \cdot sin (\frac{π}{6})$ $cos(pi/ 3 ) * sin( ( pi) / 6 )$ without using products of trigonometric functions?

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How do you express $cos (\frac{π}{3}) \cdot sin (\frac{π}{6})$ $cos(pi/ 3 ) * sin( ( pi) / 6 )$ without using products of trigonometric functions?

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Answer 1 · 2016-05-13T03:15:19

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

Explanation:

$y = cos (\frac{π}{3}) . sin (\frac{π}{6})$ $y = cos (pi/3).sin (pi/6)$
Trig table --> $cos (\frac{π}{3}) = \frac{1}{2} .$ $cos (pi/3) = 1/2.$ and $sin (\frac{π}{6}) = \frac{1}{2}$ $sin (pi/6) = 1/2$
Therefor, y can be expressed as: $y = (\frac{1}{2}) (\frac{1}{2}) = \frac{1}{4}$ $y = (1/2)(1/2) = 1/4$

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How do you express $cos (\frac{π}{3}) \cdot sin (\frac{π}{6})$ $cos(pi/ 3 ) * sin( ( pi) / 6 )$ without using products of trigonometric functions?

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Explanation:

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How do you express $cos (\frac{π}{3}) \cdot sin (\frac{π}{6})$ $cos(pi/ 3 ) * sin( ( pi) / 6 )$ without using products of trigonometric functions?