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What is the exact value of sin(-pi/12)?

 

I've got a lot of comflicting information about this question, so any help is greatly appreciated!

 Mar 25, 2020
 #1
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sin (-pi/12)  =  sin (-15°)  =   -sin (15°) =  -sin ( 45°  - 30°) =

 

-  [ sin 45 cos 30  -  sin 30 cos 45 ]  =

 

- [ √2/2 * √3/2   -  1/2 * √2/2]  =

 

- [ √6  - √2 ] / 4  =

 

[ √2  - √6]  /  4     [exact value  ]

 

 

cool cool cool

 Mar 25, 2020

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