Science Buddies: "Ask an Expert"

I am trying to help my niece with a trig problem that need to be answered in exact values. It has been 20 years since I've done identities so any help will be appreciated. The problem is "Tan (30 + 45)". The Solution is approached using (tan30 + tan 45)/(1 + tan30tan45) with "sqrt3 + 2" for the result.
Thank you in advance, P..

Hello. The solution is derived from a tangent identity. Here are a couple of websites. However, recheck the solution compared to the identities on these websites. I believe there should be a minus sign instead of a plus sign in the denominator of the given solution.

http://www.cliffsnotes.com/WileyCDA/Cli ... 11614.html
http://mathworld.wolfram.com/Tangent.html

Hope this helps. Please write back if you have any further questions. Good luck!

Thank you Deana,
I've since figured-out where my problem was falling afoul. With a little creative math, the problem was resolved. I confess that this was a humbling experience!
Thank you much for the reply and solution.
Patrick

Glad to hear. Good luck!