Question

-tan^2(x)+sec^2(x)=1
Someone help me verify please!

Answer 1

Break this up into sines and cosines using the simplest identities you know. For example, \[\Large \sec(x)=\frac{1}{\cos(x)}\]

Answer 2

Does tan=sin/cos?

Answer 3

yes

Answer 4

yes

Answer 5

So I would get -(sin(x))/cos(x)+1/cos(x)=1 ???

Answer 6

Wow! This is a Pythagorean identity that is usually demonstrated geometrically. So I am waiting with bated breath for the answer.

Answer 7

Simplified to give me -sinx+1/cosx, which is equivalent to cosx/cosx thanks to the 1st Pythagorean identity
=1 !!!

Answer 8

Thanks guys!