How do you express $sin(pi/ 8 ) * cos(( ( 4 pi) / 3 )$ without using products of trigonometric functions?

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How do you express $sin(pi/ 8 ) * cos(( ( 4 pi) / 3 )$ without using products of trigonometric functions?

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Answer 1 · 2017-01-16T19:43:02

$(1/2)sin (pi/8)$

Explanation:

$P = sin (pi/8).cos (4pi)/3$
Trig table --> $cos (4pi)/3 = cos (- pi/3 + pi) = cos (- pi/3) =$
$= cos (pi/3) = 1/2$ . Then, P can be expressed as
$P = (1/2)sin (pi/8)$
We can evaluate $sin (pi/8)$ by using the trig identity:
$2sin^2 (pi/8) = 1 - cos (pi/4) = 1 - sqrt2/2$

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How do you express $sin(pi/ 8 ) * cos(( ( 4 pi) / 3 )$ without using products of trigonometric functions?

1 Answer

Explanation:

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How do you express $sin(pi/ 8 ) * cos(( ( 4 pi) / 3 )$ without using products of trigonometric functions?