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education/math/MATH1060 (trig)/Graphing.md
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@ -55,3 +55,10 @@ $$ y = cot(x) $$
![Graph of cotangent](assets/graphcot.svg) ![Graph of cotangent](assets/graphcot.svg)
To find relative points to create the above graph, you can use the unit circle: To find relative points to create the above graph, you can use the unit circle:
If $cot(x) = \frac{cos(x)}{sin(x)}$, then:
| $sin(0) = 0$ | $cos(0) = 1$ | $cot(0) = \frac{sin(0)}{cos(0)} = \frac{1}{0} = DNF$ |
| ----------------------------------------- | ----------------------------------------- | ---------------------------------------------------------------- |
| $sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$ | $cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$ | $cot(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2} = 1$ |
| $sin(\frac{\pi}{2}) = 1$ | $cos(\frac{\pi}{2}) = 0$ | $tan(\frac{\pi}{2}) = \frac{1}{0} = DNF$ |