Question

Prove that√1+sinx/√1-sinx=tan(π\4-x/2)

Answer 1

(sin90-sinx)/(sin90+sinx)

=>{ 2sin(90-x)/2.cos (90+x)/2}/{2sin (90+x)/2.cos (90-x)/2}

=> tan (45-x/2).cot (45+x/2)