ShmoopTube

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For a good time, solve this shmoopy question...

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Find the sine of the quantity pi over 4?

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And here are the potential answers...

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I'll looks like instead of degrees we're getting into radians

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the angle measure made by wrapping the radius length around a circle

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Just think of pi as a 180 degrees. How did we come up with that?

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Well the formula for the circumference of a circle is 2

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pi times the radius of the circle.

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Well in a unit circle, that's where the radius is just 1,

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we can describe a full 360 degrees of a circle as 2pi

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times one or just 2pi radians

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if 360 degrees is 2pi radians...half of 360 is 180 or

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pi radians. Plug in 180 for pi

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in sine over pi over 4... 180 divided by four is 45

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Sine of 45 degrees is the square root of 2 over 2.

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Option D is our answer.

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