Question

If cos A=2√m/m+1 then prove that cosec A =m+1/m-1​

Answer 1

Answer:

Step-by-step explanation:

sin^2 A = 1 - cos^2 A = 1 - (2√m/m+1)^2 = ((m^2 + 2m + 1) - 4m)/(m+1)^2

= ((m - 1) / (m+1))^2

so, sin A = (m - 1) / (m + 1)

Thus, cosec A = 1 / sin A = (m + 1) / (m - 1)