if sin theta= m/n then find tan theta+4 / 4cot theta+1

sin theta = m/n

Using the identity sin² theta + cos² theta 1, find the value of cos theta.

Now, tan theta = sin theta/ cos theta

and

cot theta = 1/tan theta

 

Using the above relations, you can easily find tan theta and cot theta.

 

Substitute them in the given expression to get the required answer.