Solve Sin pi/12= 1/4 (√6 - √2)

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Homework Help Overview

The discussion revolves around the equation Sin(pi/12) = 1/4 (√6 - √2), focusing on the trigonometric identity and the application of the sine difference formula.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the sine difference formula and the validity of the original poster's approach to rewriting sin(pi/12) as sin(pi/3 - pi/4). Some participants confirm their agreement with this method.

Discussion Status

The discussion appears to be progressing with participants validating each other's approaches. There is a suggestion to use a calculator for verification, indicating a willingness to check the results.

Contextual Notes

No specific constraints or missing information are noted, but the discussion implies a focus on verifying trigonometric identities.

CrossFit415
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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:
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And then used the difference formula? The answer looks ok to me.
 
Yea I did
 
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.
 
Thanks
 

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