2 trig identity problems

Smeagol3

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Joined
Sep 28, 2005
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I've been working on these for a few hours now and can't make any progress. I need to simplify one side using trig identities to get it to equal the other side.

2 - sec(x)^2 = 1 - tan(x)^2
So far I have:
2 - (1 + tan(x)^2) = 1 - tan(x)^2


The second one is:
sin(x) + cos(x)cot(x) = csc(x)
I tried starting this one in 2 ways, but don't seem to be making any progress with either.
Attempt 1:
sin(x) + (1/sec(x)) * (1/tan(x)) = csc(x)
Attempt 2:
sin(x) + (sin(x)/(tan(x)) * (1/tan(x)) = csc(x)

Thanks a lot for any help.
 
In the first one, eliminate the parenthesis.
In the second one change the cot x to cos x/sin x and go from there.
 
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