Challenges

3.1 Replicate this

Replicate this example using math-mode:

$$\sin\left(\frac{\pi}{3}\right)=\frac{\sqrt{3}}{2}$$

Hint: You may find it helpful to refer to our Cheat Sheet.

Bonus challenge: Typeset the probability density function of the normal distribution.

$${\displaystyle f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}}$$

3.2 Your turn

• Copy the probability density function of the normal distribution into LaTeX.

$${\displaystyle f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}}$$

• Typeset the most difficult problem or equation you can think of or find!

Hint: Use DeTeXify or MathPix to get the exact symbol or formula you want.

Bonus challenges:

• Can you solve someone else's problem?

• Check out the extension material.

• Did you know you can run R code in LaTeX? Read more here, and let me know if you'd be interested in a workshop on this.