Question

prove that cosx/1+sinx=cot(x/2)-1/cot(x/2)+1​

Answer 1

Answer:

taking L H S,

cosx/1+sin x=([1-tan^2x/2]/[1+tan^2x/2])/1+(2tan(x/2)/tan x^2+1

by cross multiplying and simplifying it becomes

Explanation

1-tan(x/2)/1+tan(x/2)

divide with tan(x/2)

cot(x/2)-1/cot(x/2)-1