▲ A New Era ▲

So, I’ve been away from school for about two days now and I’m already bored (partly because I haven’t left the house in the past 48 hours). I’ve decided that learning Linear Algebra and Differential Equations shall cure me of my boredom…

Ok, here’s the solution:

• Using the Pythagorean Identity, where sin² (x) + cos² (x) = 1, we can reduce the expression to 1/cos² (x).
• Then, using the knowledge that 1/cos² (x) = sec² (x) = 1 + tan² (x). And, there’s your solution.

shaystersuniverse:

1+tan^2(x) can be rewritten as:

sin^2(x)+cos^2(x)/cos^2(x)

I get using the one as a “smart one” and subsituting in sin^2 and cos^2, but when I rewrite tan^2 as sin^2(x)/cos^2(x) I can’t seem to simplify it correctly.

Help?