tan(x) = sin(x) /cos(x).
When x = 90 degrees then cos(x) = 0 so tan(x) requires division by zero - which is not defined.
The angle between the radius and the tangent is a right angle of 90 degrees.
It's not. The tangent of 180 degrees is zero. Consider tan(x) = sin(x)/cos(x). When x = 180 degrees, sin(x) = 0 and cos(x) = -1 and so tan(x) = 0
-pi/2 and pi/2
The tangent-tangent angle is formed by two tangents drawn from a point outside a circle to points on the circle. To find the measure of the tangent-tangent angle, you take half the difference of the intercepted arcs. In this case, the arcs measure 135 degrees and 225 degrees. Therefore, the measure of the tangent-tangent angle is (\frac{1}{2} (225^\circ - 135^\circ) = \frac{1}{2} (90^\circ) = 45^\circ).
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Because it tends to infinity. Additionally, tangent can be expressed as sin theta divided by cos theta. The sine of 90 is 1. The cosine of 90 is 0. That would be 1 divided by 0, or division by zero; which is undefined.
Everytime you determine on your calculators the tangent of 90 degrees, it returns an electron overflow equivalent to a machine-shriek. This is due to the fact that the formula attempted to divide by zero, thus, the result of TANGENT of 90 degrees is UNDEFINED(Division By ZERO is UNDEFINED/not allowed). All lines following this formula is parallel to the y-axis, including the line on the y-axis itself. Hence, point of tangency is impossible to define since parallel lines NEVER MEET.
90 degrees is one
The angle between the radius and the tangent is a right angle of 90 degrees.
It is 90 degrees between the circle's diameter and its tangent
Just as at 90 degrees, it goes to infinity. That is because tangent of angle is opposite side over adjacent side. The oppsoite side gets bigger and bigger after 45 dgerees ( and in your case then after 225 degrees) until it grows beyond all bounds at 270 degrees
It's not. The tangent of 180 degrees is zero. Consider tan(x) = sin(x)/cos(x). When x = 180 degrees, sin(x) = 0 and cos(x) = -1 and so tan(x) = 0
-pi/2 and pi/2
The value of tangent 88 degrees is approximately 28.64. This high value occurs because tangent approaches infinity as the angle approaches 90 degrees. In mathematical terms, tan(88°) = sin(88°) / cos(88°), and since the cosine of 88 degrees is very small, the tangent value becomes significantly large.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
35 degrees :)
The arc tangent is the recicple of the tangent which is also known as the cotangent. The tangent of π/2 is undefined, thus the cotangent would be zero.