Q: How does the tangent function relate to sine and cosine?

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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.

Related questions

The ratio of sine and cosine.

Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.

Sine = -0.5 Cosine = -0.866 Tangent = 0.577

sine, cosine, tangent, cosecant, secant, cotangent.

Yes, sine, cosine, tangent definitions are based on right triangles

The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.

Sine, Cosine, Tangent, Cosecant, Secant, Cotangent.

The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X. The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.

Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.

The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.

I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.