anonymous
  • anonymous
The exact value of sin 5pi/12 is? A) 0.97 B) sqrt(2) ( sqrt(3) + 1) /4 C) sqrt(2) ( sqrt(3) - 1) /4 D) 0.02
Mathematics
chestercat
  • chestercat
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freckles
  • freckles
you know cos(5pi/6) any you know 1/2*5pi/6 =5pi/12 so use half angle identity
freckles
  • freckles
\[\sin^2(a)=\frac{1}{2}(1-\cos(2a)) \\ \text{ \let } x=2a \text{ which makes } \frac{x}{2}=a \\ \sin^2(\frac{x}{2})=\frac{1}{2}(1-\cos(x)) \\ \text{ your } x=\frac{5\pi}{6} \\ \text{ that is the thing you want to enter } \\ \text{ then you will need to decide which sign to use when solving for } \\ \sin(\frac{1}{2} \cdot \frac{5\pi}{6})\]

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