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Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.

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

Which ratio describes the tangent function?

The ratio of sine and cosine.


Is a cosine function continuous?

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


Is the sine functions an odd function?

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


How do you find sine cosine and tangent of 210 degrees?

Sine = -0.5 Cosine = -0.866 Tangent = 0.577


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


Do you need a right traingle to use sine cosine and tangent?

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


What is trigonometry's circular function?

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


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How is tangent defined?

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.


What is the relationship between the tan and cot?

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


What are the Differentiate the sine wave and cosine wave?

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Why is the secant function is an even function and the tangent and cosecant are odd functions?

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.