Question

if tan theta = 8/6, 0 less than = to theta less than = to pi/2 what is sin (theta)= cos(theta)=cos (theta)=?

Answer 1

`\begin{gathered} \tan \theta=(8)/(6) \\ \\ 0\leq\theta\leq(\pi)/(2) \\ \\ \end{gathered}`

Use the next identities:

`\begin{gathered} \tan \theta=(\sin \theta)/(\cos \theta) \\ \\ \csc \theta=(1)/(\sin \theta) \end{gathered}`

Then, you get that:

`\begin{gathered} \sin \theta=8 \\ \cos \theta=6 \\ \csc \theta=(1)/(8) \end{gathered}`