Factoring and simplifying trigonometric expressions.

1. Simplify: sin^2(x)/sec^2(x)-1

2. Factor and simplify: cos^2(x)-sin^2(x)cos^2(x)

3. Perform the addition and simplify: 1/1+sinx + 1/1-sinx

4. Simplify: sec^4(x) + sec^2(x)-2

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...-sin^2(x))=cos^2(x)*cos^2(x)=cos^4(x).
3.We can bring it to the common denominator:
(1+sinx+1-sinx)/(1+sinx)(1-sinx)=2/cos^2(x)
4.We ...