SOLUTION: I have been ill and have missed several weeks of school. I am trying to catch up now that I am home from the hospital via email. My pre-cal/trig teacher sent me several homework as

Question 836438: I have been ill and have missed several weeks of school. I am trying to catch up now that I am home from the hospital via email. My pre-cal/trig teacher sent me several homework assignments, but I am so behind that I do not now how to do these problems. Can you help with this one and maybe I can use it as an example? I can use a calculator on these problems.
The problem: tan{arc tan 1/2 + arc tan 1/3]
Thank you so much!

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Do you know what tan and arc tan mean ?
If not, is the side opposite angle
divided by the side adjacent to angle .
----------------------------------------
Of course, You are always talking about a right triangle
means " the angle whose tan is .
is a number here, not an angle
----------------------------------

Work inside the parentheses one term at a time.
-----------------

On my Casio fx-115 ES, I press [ SHIFT-tan- 1/2 = ]
That gives me which is the angle whose
tan is
-----------------
Next I press [ SHIFT-tan-1/3 = ]
That give me which is the angle whose
tan is
-----------------
Now add the angles:

At this point, you have:

This is tan of the angle 45 degrees
------------------
Now press [ tan-45 = ]
That should give you , which is the answer.
It is a number, not an angle
-------------------
Note that your calculator has to be set up for angles
and not radians in order to follow this.
Your calculator shouldn't be much different
Hope this helps

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