We have the expression $13\mathrm{sin}[{\mathrm{tan}}^{-1}({\displaystyle \frac{12}{5}})]$.

Apparently the answer is 12, and I have to simplify it, and I'm assuming it means I have to show it's 12, without using a calculator.

Normally I show my own work in the questions, but in this case I have absolutely no clue how to. The only thing I know that might help is that $\mathrm{tan}(x)={\displaystyle \frac{\mathrm{sin}(x)}{\mathrm{cos}(x)}}$

Apparently the answer is 12, and I have to simplify it, and I'm assuming it means I have to show it's 12, without using a calculator.

Normally I show my own work in the questions, but in this case I have absolutely no clue how to. The only thing I know that might help is that $\mathrm{tan}(x)={\displaystyle \frac{\mathrm{sin}(x)}{\mathrm{cos}(x)}}$