Question

help please !!! how do i solve this i got stuck... i attach a picture below ..

Answer 1

what should i do next ?

Answer 2

What are you required to proof?

Answer 3

I can't understand

Answer 4

\[\frac{\cot(t)+\tan(t)}{\sec(-t)}\]
What is required to do with expression?Do you need to prove it equal to something?Are you required to simplify it?

Answer 5

Also the identity you've written on the right side of your paper is slightly wrong, it should be
\[\tan^2(x)+1=\sec^2(x)\]
Another extremely useful identity you can use here is
\[\sec(-x)=\sec(x)\]

Answer 6

yes.

Answer 7

how did sec become sec (x ) ?

Answer 8

\[\sin(-x)=-\sin(x)\]\[\cos(-x)=\cos(x)\]\[\tan(-x)=-\tan(x)\]\[\csc(-x)=-\csc(x)\]\[\sec(-x)=\sec(x)\]\[\cot(-x)=-\cot(x)\]
These are all important identities, have you learned them yet?

Answer 9

no

Answer 10

odd and even functions

Answer 11

Yep, cosine and secant are even functions, so cos(-x) and sec(-x) will be cos(x) and sec(x) respectively

Answer 12

ok