The person who can prove this all question will get the brailiest award

Answer:
This only has answer 1. these proofs are really long, so hard to fit them all in one answer.
Step-by-step explanation:
[tex]cos^2A+sin^2A=1\\[/tex] : Will be used very often so just remember this equality.
1. Multiply [tex](1+SinA)*\frac{CosA}{1-SinA} +\frac{CosA}{1+SinA} *(1-SinA)=2secA\\[/tex]
When we factor out the terms, we are left with:
We then use the rule above and convert it to [tex]cos^2A[/tex]: