How do you express $cos( (5 pi)/6 ) * cos (( 11 pi) /6 )$ without using products of trigonometric functions?

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How do you express $cos( (5 pi)/6 ) * cos (( 11 pi) /6 )$ without using products of trigonometric functions?

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Answer 1 · 2016-03-18T01:01:40

$-3/4$

Explanation:

Trig table --> $cos ((5pi)/6) =cos(pi-pi/6)=-cospi/6=-sqrt3/2$
$cos ((11pi)/6) = cos (-pi/6 + (12pi)/6) = cos (-pi/6 + 2pi) =$
$cos (-pi/6) = cos (pi/6) = sqrt3/2$
The product can be expressed as:
$P = (-sqrt3/2)(sqrt3/2) = - 3/4$

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How do you express $cos( (5 pi)/6 ) * cos (( 11 pi) /6 )$ without using products of trigonometric functions?

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Explanation:

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Science

Math

Humanities

... and beyond

How do you express cos( (5 pi)/6 ) * cos (( 11 pi) /6 ) cos( (5 pi)/6 ) * cos (( 11 pi) /6 ) without using products of trigonometric functions?

1 Answer

Explanation:

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How do you express $cos( (5 pi)/6 ) * cos (( 11 pi) /6 )$ without using products of trigonometric functions?