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Babynini

  • one year ago

Find the exact value of sin(pi/12) using the Addition/Sub formulas

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  1. Babynini
    • one year ago
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    @Astrophysics

  2. Babynini
    • one year ago
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    @jim_thompson5910

  3. jim_thompson5910
    • one year ago
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    hint: \[\Large \sin\left(\frac{\pi}{12}\right) = \sin\left(\frac{\pi}{3} - \frac{\pi}{4}\right)\] then use the identity sin(x-y) = sin(x)*cos(y) - cos(x)*sin(y)

  4. jim_thompson5910
    • one year ago
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    alternatively, you can use the fact that \[\Large \sin\left(\frac{\pi}{12}\right) = \sin\left(\frac{1}{2}*\frac{\pi}{6}\right)\] and use the half angle identity for sine. But it looks like they want you to use the first method

  5. Babynini
    • one year ago
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    ooh thanks! Yes, I got the 1/2 * pi/6 but couldn't figure that out with the addition/subtraction and had forgotten about the half angle identity. Thanks! :)

  6. Babynini
    • one year ago
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    (sorry for taking long to respond, I was having dinner and forgot)

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