Question

sqrt ((1+cos x)/(1-cos x)) + sqrt ((1-cos x)/(1+cos x))

Answer 1

Hola !!Please refer the above pic for your answer ...

2cosecx

Answer 2

Step-by-step explanation:

sqrt(1+cosx)/(1 - cosx) +sqrt (1- cosx )/(1 + cosx)

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

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

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

2 ( sin (x/2 + π/4) /sinx