Question

2cosec x = tan x/2 + cot x/2​

Answer 1

Answer:

here is your answer, hope you will understand

Answer 2

tan ( x/ 2 ) + cot( x/ 2 ) = 2 csc x

Explanation:

tan ( x /2 ) + cot ( x /2 )

=  sin ( x/ 2 ) /cos( x /2 ) + cos ( x/ 2 ) /sin ( x/ 2 )

=  sin 2 ( x/ 2 ) + cos2 ( x/ 2 ) /sin ( x /2 ) cos ( x/ 2 )

=  1 /sin ( x 2 ) cos ( x 2 ) = 2/ 2 sin( x 2 ) cos ( x 2 )  =  2 sin x  =  2csc x