Question

If sin theta= m/n find the value tan theta+4/4cot theta+1

Answer 1

sin∅ = m/n
therefore, here opposite side of ∅ is m & hypotenuse is n
so, the adjacent side will be,
√n²-m². (pythagoras theorem)

tan∅ = opposite/adjacent = m/√n²-m²
cot∅ = adjacent/opposite = √(n²-m²)/m

We have to find, (tan∅+4)/(4cot∅+1)
so, the value will be,
[m/√(n²-m²)]

Answer 2

Here is your answer my friend :)

Hope it'll help you