Question

I need help with this work for my pre calculus class

Answer 1

`\begin{gathered} (\sin \theta)/(\cos \theta) \\ \\ (1)/(\cot \theta) \end{gathered}`

Step-by-step explanation:

Let's consider the below right triangle;

From the above, we can see that sin0/cos0 is equivalent to tan0;

`\begin{gathered} \sin \theta=(a)/(b) \\ \cos \theta=(c)/(b) \\ \tan \theta=(a)/(c) \\ (\sin \theta)/(\cos \theta)=((a)/(b))/((c)/(b))=(a)/(b)*(b)/(c)=(a)/(c) \end{gathered}`

We also know that;

`\begin{gathered} cot\theta=(1)/(\tan \theta) \\ \tan \theta=(1)/(\cot \theta) \end{gathered}`