daviddoji/CalculusWithJuliaNotes.jl
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some typos

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Fang Liu
2025-05-04 15:08:47 +08:00
parent ed1d92197a
commit d55e4802fb
7 changed files with 17 additions and 17 deletions
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quarto/precalc/trig_functions.qmd
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@@ -168,7 +168,7 @@ sin(theta)^2
```
These values are floating point approximations, as can be seen clearly in the computation of `sin(pi/2)`, which is mathematically $0$. Symbolic math can be usedby using `PI` for `pi` if exactness matters:
These values are floating point approximations, as can be seen clearly in the computation of `cos(pi/2)`, which is mathematically $0$. Symbolic math can be used by using `PI` for `pi` if exactness matters:
```{julia}
cos.([0, PI/6, PI/4, PI/3, PI/2])
@@ -732,7 +732,7 @@ $$
\cos((n+1)\theta) = 2 \cos(\theta) \cos(n\theta) - \cos((n-1)\theta).
$$
Let $T_n(x) = \cos(n \arccos(x))$. Note $T_1(x) = \cos(x)$. By identifying $\theta$ with $\arccos(x)$ for $-1 \leq x \leq 1$, we get a relation between these functions:
Let $T_n(x) = \cos(n \arccos(x))$. Note $T_1(x) = x$. By identifying $\theta$ with $\arccos(x)$ for $-1 \leq x \leq 1$, we get a relation between these functions:
$$