Thread: Trig Identities

Could anyone help on this trig identity? I have a quiz tomorrow and am unsure on this one.

(1/tanx-secx)+(1/tanx+secx)= -2 tanx

Any help is appreciated!

Make a common denominator on the LHS of the equation.

What do you get?

Originally Posted by pickslides

Make a common denominator on the LHS of the equation.

What do you get?

Can you walk me through this?

Here is what I got (didn't place any x's for visual purposes):

(tan+sec)/(tan^2-sec^2) + (tan-sec)/(tan^2-sec^2)

simplified that further to:

(tan+sec+tan-sec)/(tan^2-sec^2)

simplified even more to get:

(2tan)/(tan^2-sec^2)

Now I'm stuck. can you heLp?
thanks

WAIT!!!!

(tan^2-sec^2) simplifies to 2tan / -1

which is equal to -2tan!!!

thanks for startin me off