Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
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The ratio of sine and cosine.
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
Yes, sine, cosine, tangent definitions are based on right triangles
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
No, it does not.