Question

rewrite in terms of sin theta and simplify:: tan theta/cot theta

Answer 1

well

tan = sin/cos

and cot = cos/sin

so the problem becomes

\[\frac{\frac{\sin}{\cos}}{\frac{\cos}{\sin}}\]

dividing by a fraction requires you to flip the denominator fraction and multiply

\[\frac{\sin(x)}{\cos(x)} \times \frac{\sin(x)}{\cos(x)}\]

so you need to simplify the equation above

then you'll also need to use the identity

\[\sin^2(x) + \cos^2(x) = 1\]

hope it helps

Answer 2

thank you!!!