Posted by Laken on Thursday, December 17, 2009 at 10:20pm.
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, Thursday, December 17, 2009 at 10:37pm
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, Thursday, December 17, 2009 at 10:50pm
Thanks!
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