Solve Sin pi/12= 1/4 (√6 - √2)

Thread starter CrossFit415
Start date Mar 27, 2011
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Sin

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The discussion centers on solving the equation sin(pi/12) = 1/4(√6 - √2). The user confirms their approach by expressing sin(pi/12) as sin(pi/3 - pi/4) and applying the sine difference formula. They express confidence in their solution. Additionally, a suggestion is made to verify the result using a calculator for accuracy. The conversation emphasizes the correctness of the mathematical steps taken.

Mar 27, 2011

CrossFit415

Sin pi/12= 1/4 (√6 - √2) ?

I took sin pi/12 = sin (4pi / 12 - 3pi/12) = sin (pi/3 - pi/4)

Did I do this right?

Last edited: Mar 27, 2011

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Mar 27, 2011

Dick

Science Advisor

Homework Helper

And then used the difference formula? The answer looks ok to me.

Mar 27, 2011

CrossFit415

Yea I did

Mar 27, 2011

Dick

Science Advisor

Homework Helper

You can, of course, just put sin(pi/12) into your calculator and check that it matches 1/4 (√6 - √2), if you want to check yourself.

Mar 27, 2011

CrossFit415

Thanks

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