Posted by **Rebekah** on Monday, February 4, 2013 at 6:52pm.

1. Prove

sin - cos +1/ sin + cos - 1 = sin +1/cos

2. 1+ sin/ 1- sin = (sec + tan)^2

Thanks!!

- Precalc -
**Reiny**, Monday, February 4, 2013 at 7:03pm
Your lack of brackets make your equations totally ambiguous.

Secondly your trig ratios have no argument, sin and cos by themselves are meaningless

that's like saying

5 + √

I happen to know the second one , so

(1+ sinØ)/(1 - sinØ) = (secØ + tanØ)^2

LS = (1+ sinØ)/(1 - sinØ) * (1+sinØ)/(1+sinØ)

= (1 + sinØ)^2 /(1 - sin^2Ø)

= (1 + 2sinØ + sin^2 Ø)/ cos^2 Ø

= 1/cos^2 Ø + 2sinØ/cos^2 Ø + sin^2 Ø/cos^2 Ø

= sec^2 Ø + 2tanØsecØ + tan^2 Ø

= (secØ + tanØ)^2

= RS

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