math117: add tan table
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@ -209,10 +209,11 @@ $$\theta=\frac{s}{r}$$
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The following table indicates the special angles that should be memorised:
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| Angle (rad) | $\frac{\pi}{6}$ | $\frac{\pi}{4}$ | $\frac{\pi}{3}$ | $\frac{\pi}{2}$ | 1 |
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| --- | --- | --- | --- | --- | --- |
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| cos | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{\sqrt{2}}{2}$ | $\frac{1}{2}$ | 0 |
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| sin | 0 | $\frac{1}{2}$ | $\frac{\sqrt{2}}{2}$ | $\frac{\sqrt{3}}{2}$ | 1 |
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| Angle (rad) | 0 | $\frac{\pi}{6}$ | $\frac{\pi}{4}$ | $\frac{\pi}{3}$ | $\frac{\pi}{2}$ | $\pi$ |
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| --- | --- | --- | --- | --- | --- | --- |
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| cos | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{\sqrt{2}}{2}$ | $\frac{1}{2}$ | 0 | -1 |
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| sin | 0 | $\frac{1}{2}$ | $\frac{\sqrt{2}}{2}$ | $\frac{\sqrt{3}}{2}$ | 1 | 0 |
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| tan | 0 | $\frac{\sqrt{3}}{3}$ | 1 | $\sqrt{3}$ | not allowed | 0 |
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### Identities
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