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Use the half angle form, which states that:

sin(x/2) = √((1 - cos(x))/2)

Then:

x/2 = 157.5

x = 315

You should get:

sin(315 / 2) = √((1 - cos(315))/2)

= √((1 - 1/√2)/2)

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Q: What is sine of angle 157.5 degrees?
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