How do you express $sin(pi/ 4 ) * sin( ( 2 pi) / 3 )$ without using products of trigonometric functions?

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How do you express $sin(pi/ 4 ) * sin( ( 2 pi) / 3 )$ without using products of trigonometric functions?

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Answer 1 · 2018-07-03T09:05:38

$color(red)(=> [cos ((5pi)/12) - cos ((11pi)/12)]/2$

Explanation:

![https://study.com/academy/lesson/http://product-to-sum-identities-uses-applications.html](https://useruploads.socratic.org/2xBiCxzSmmCr1qNXSs2e_trigonometric%20identities.png)

$sin (pi/4) * sin ((2pi)/3)$

$sin x sin y = (1/2)[cos(x-y) - cos (x+y])$

$=> (1/2)[cos (pi/4 - (2pi)/3) - cos (pi/4 + (2pi)/3)]$

$=> [cos -((5pi)/12) - cos ((11pi)/12)]/2$

$color(red)(=> [cos ((5pi)/12) - cos ((11pi)/12)]/2$

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How do you express $sin(pi/ 4 ) * sin( ( 2 pi) / 3 )$ without using products of trigonometric functions?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you express sin(pi/ 4 ) * sin( ( 2 pi) / 3 ) sin(pi/ 4 ) * sin( ( 2 pi) / 3 ) without using products of trigonometric functions?

1 Answer

Explanation:

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How do you express $sin(pi/ 4 ) * sin( ( 2 pi) / 3 )$ without using products of trigonometric functions?