Maths P1 Oct 2008 Question

[allysaleemally]

Im stuck at Maths P1 Oct 2008 Q 2
Could anyone please explain it to me?
http://www.xtremepapers.com/CIE/International A And AS Level/9709 - Mathematics/9709_w08_qp_1.pdf

http://www.xtremepapers.com/CIE/International A And AS Level/9709 - Mathematics/9709_w08_ms_1.pdf

 

[CaptainDanger]

Take Left Hand Side

(1+sin x / cos x) + (cos x / 1+sin x)

Take LCM and add them

(1+sin x)^2 + cos^2 x / cos x (1+sin x)

1+2 sin x+ sin^2 x + cos^2 x / cos x (1+sin x)

Use the identity sin^2 x + cos^2 x =1

1 + 2 sin x + 1 / cos x (1+sin x)

2 + 2sin x/ cos x (1+sin x)

Take 2 as common
2( 1+sin x) /cos x (1+sin x)

2/cos x ANSWER!