![]() ![]() It is very important to keep these values in mind when sketching this graph. This means the function will have a discontinuity where cos x = 0. For each one, the denominator will have value `0` for certain values of x. The same thing happens with `cot x`, `sec x` and `csc x` for different values of `x`. So there will be a "gap" in the function at that point. When this happens, we have `0` in the denominator of the fraction and this means the fraction is undefined. For example, when `x=pi/2`, the value of `cos =0`. For some values of x, the function `cos x` has value `0`. Recall from Trigonometric Functions, that `tan x` is defined as:Ĭonsider the denominator (bottom) of this fraction. ![]() For certain values of x, the tangent, cotangent, secant and cosecant curves are not defined, and so there is a gap in the curve. They are interesting curves because they have discontinuities. However, they do occur in engineering and science problems. The graphs of `tan x`, `cot x`, `sec x` and `csc x` are not as common as the sine and cosine curves that we met earlier in this chapter.
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