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If we graph the tangent function on \(−\frac{\pi}{2}\) to \(\frac{\pi}{2}\), we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat. We can determine whether tangent is an odd or even function by using the definition of tangent.
Jan 30, 2015 · How do you prove that tangent is an odd function? Trigonometry Trigonometric Identities and Equations Fundamental Identities. 1 Answer Massimiliano
How to determine the domain and range of the tangent function. The name of the tangent function comes from the tangent line that is perpendicular to the radius and intersects the circle at a single point. To create a tangent segment, draw a line perpendicular to the x-axis and then extend θ so it intersects the tangent line. The tangent ...
The tangent function is not defined at odd multiples of π/2 as the length of the base in a right triangle is 0 and cos x = 0 when x = kπ/2, where k is an odd integer. Hence, the domain of tan x is all real numbers except the odd multiples of π/2. Therefore, the domain of the tangent function tan x is R - {(2k+1)π/2}, where k is an integer.
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trigonometric functions » tangent Tangent function. The tangent function is defined in a right-angled triangle as the ratio of the opposite and adjacent sides. The function is defined in the range from 90 ° ± k · 180 ° to 270 ° ± k · 180 ° and takes values from −∞ to +∞.
