Question

If cosec 0 + cot 0 = m, then the value of cos 0 is

Answer 1

(1 + cos 0)/sin 0 = m
1 + cos0 = msin0

let cos0 = c and sin0 = s

1 + c = m√(1 - c²)
1 + c² + 2c = m^2(1 - c²)

cos0 = [-2 ± √(4+m²(m²+1)]/[2(m²+1)]