Question #7c0dd

2 Answers
Cesareo R.
Dec 4, 2017

See below.

Explanation:

Squaring both sides

#(1+sinx)/(1-sinx)+(1-sinx)/(1+sinx)+2=((1+sinx)^2+(1-sinx)^2)/cos^2x +2= 4/cos^2x = (2 secx)^2#

P dilip_k
Dec 5, 2017

#LHS=sqrt((1+sinx)/(1-sinx))+sqrt((1-sinx)/(1+sinx))#

#=((1+sinx)+(1-sinx))/sqrt(1-sin^2x)#

#=((1+sinx+1-sinx))/sqrt(cos^2x)#

#=2/cosx=2secx=RHS#

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