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/(1-sinX)=(1+sinX)/cosX

2. (secX+tanX)/(secX-tanX)=(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)/(1-sinx)

RS = (1+sinx)(1+sinx)/(1 - sin^2 x)

= (1+sinx)(1+sinx)/[(1+sinx)(1+sinx)]

= (1+sinx)/(1-sinx)

= LS

- TRIG -
**Laken**, Thursday, December 17, 2009 at 10:50pm
Thanks!

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