The tangent of infinity is undefined because it is not a real number. The tangent function is defined as the ratio of the side opposite a given angle to the side adjacent to the angle in a right triangle. Since infinity is an abstract concept which has no physical representation, it is not possible to measure the sides of a triangle with an infinite length. Therefore, the tangent of infinity is undefined.
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Tangent (like most trig functions) is an oscillating function, and it has no limit as it approaches infinity.
the tangent of an angle is equal to the length of the opposite side from the angle divided by the length of the side adjacent to the angle.
Sine and cosine cannot be greater than 1 because they are the Y and X values of a point on the unit circle. Tangent, on the other hand, is sine over cosine, so its domain is (-infinity,+infinity), with an asymptote occurring every odd pi/2.
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.
45 degrees
The tangent of 0.47 radians is about 0.508. The tangent of 0.47 degrees is about 0.00820.