Question

cot X by 2 - tan x by 2 is equal to 2 cot X prove it​

Answer 1

Answer:

cot x/2 - tan x/2

= cosx/2 / sin x/2 - sinx/2 /cos x/2

=( cos ^2x/2 -sin^2x/2)/ sinx/2cosx/2

= cosx/(sin x)/2 ( cos x= cos^2x-sin^2x and sinx= 2sinxciosx)

= 2 (cosx/sinx)

= 2cotx