SOLUTION: pi/3 is equal to 60 degrees. sin (x^2) when x = pi/3 is sin((pi/3)^2) which is approximately .8897, but when x=60 degrees we get sin ((60 degree)^2)= sin(3600 degrees) = 0. Why a

Question 847118: pi/3 is equal to 60 degrees.
sin (x^2) when x = pi/3 is sin((pi/3)^2) which is approximately .8897, but when x=60 degrees we get sin ((60 degree)^2)= sin(3600 degrees) = 0. Why are the "answers" different?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
pi/3 is equal to 60 degrees.
sin (x^2) when x = pi/3 is sin((pi/3)^2) which is approximately .8897, but when x=60 degrees we get sin ((60 degree)^2)= sin(3600 degrees) = 0. Why are the "answers" different?
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Degrees are not dimensionless, radians are.
1 radian = the angle subtended by an arc = to the radius --> r/r.
1 radian^2 is still a ratio with no dimensions.
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Using degs, squaring the angle --> "square degrees."
The sine of "square degs" is not = sine of degrees.

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