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# Why sin o degree equals to 0?

Updated: 12/16/2022

Wiki User

β 9y ago

In order to answer this, you need to get away from the idea that the sine ratio is only relevant in right angled triangles.

One way is to consider the sine ratio as the y coordinate of the point on the unit circle at which the radius makes an angle of 0 degrees with the x-axis. Since the radius makes an angle of 0 degrees, it lies along the x-axis. And a point at a distance 1 from the origin will have coordinates (1,0) so the y coordinate is 0.

Another, more advanced way, is to consider the infinite series for sin(x) with x measured in radians. Since 0 degrees = 0 radians, the measurement scale does not matter.sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...

When x = 0, every term in this series is 0 and so the infinite sum must be 0.

Wiki User

β 8y ago

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O, of course.

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