Posted by Laken on .
There are two questions of my homework I'm having trouble with.. I think we are supposed to show how they are true. In other words, make one side look exactly like the other one by using the identities.
1. cosX/(1sinX)=(1+sinX)/cosX
2. (secX+tanX)/(secXtanX)=(1+2sinX+sin^(2)X)/cos^(2)X)
Please help, thanks

TRIG 
Reiny,
for the first, multiply the LS by (1+sinx)/(1+sinx)
It will turn into the RS
2.
LS = (1/cosx + sinx/cosx)/(1/cosx  sinx/cosx)
we have a common denominator
and remember how to divide fractions ...
= (1+sinx)/(1sinx)
RS = (1+sinx)(1+sinx)/(1  sin^2 x)
= (1+sinx)(1+sinx)/[(1+sinx)(1+sinx)]
= (1+sinx)/(1sinx)
= LS 
TRIG 
Laken,
Thanks!