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Q: Does tangent of x equal cosine divided by sine?

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

For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent

No, it is not. To be correct, the expression requires parenthesis, which are missing.

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

That is the correct spelling of "tangent" (intersecting at one point, or sine divided by cosine, or opposite side over adjacent side).

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

Trig identity... sin/cos = tangent

For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent

No, it is not. To be correct, the expression requires parenthesis, which are missing.

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.

Sine = -0.5 Cosine = -0.866 Tangent = 0.577

The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.

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

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

Yes, except at odd multiples of pi/2 radians, where the cosine is zero so that the division is not defined.

That is the correct spelling of "tangent" (intersecting at one point, or sine divided by cosine, or opposite side over adjacent side).

in trigonometry

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