cosX/(1+sinX)+tanX
we know that: tanX=sinX/cosX, therefore:
cosX/(1+sinX)+sinX/cosX
common denominator would be cosX(1+sinX), so the addition of these two terms would be:
(cosX^2+sinX+sinX^2)/cosX(1+sinX)
knowing sinX^2+cosX^2=1, we'll have:
(1+sinX)/cosX(1+sinX)
cancel out (1+sinX)
the answer would be:
1/cosX
3/10/2014

Mozhgan Z.