more of those formulas that i've been blogging about for three whole weeks now because i don't know what else to do this on

So I am going to go over some tangent formulas because I think I have done everything else. These formulas are used when you want to do addition and subtraction with tangent rather than sine or cosine. Here we go, no more stalling.

tan (alpha-beta)= tan alpha-tan beta/1+tan alpha tan beta

tan (alpha+beta)=tan alpha+tan beta/1-tan alpha tan beta

EXAMPLE TIIIIIIIIIIIIIIIIIIIIIIIIIME

Suppose tan alpha=1/3 and tan beta= 1/2

Find tan (alpha+Beta)

First you're going to pick a formula. Obviously since it's addition we're going to be using the addition formula.

1/3+1/2/1-(1/3)(1/2)

Find a common denominator and add the top, multiply and subtract the bottom. After doing that, you should have:

5/6 / 5/6

This equals 1 (:

The problem may also ask you to show that alpha=tan inverse 1/3 +beta=tan inverse 1/2=pi/4

Simply show that tan inverse(1)=45 degrees=pi/4 (:

==Sarah