Question

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I'm having trouble solving either of those questions, any help would be greatly appreciated.

Answer 1

Problem 1 (I'm sorry I don't know how to format the answer!):

tan (x+ pi/6)
= (tan x + tan pi/6) / (1 - tan x tan pi/6)
= (tan x + 1/(sqrt(3)) / (1 - tan x / sqrt(3))
= (sqrt(3) tan x + 1) / (sqrt(3) - tan x)

Answer 2

The formula to use is:
tan (A+B) = (tan A + tan B) / (1 + tan A tan B)

Answer 3

I think there's a little mistake. The formula will be
tan (A+B) = (tan A + tan B) / (1 - tan A tan B)

Answer 4

@mridul1: Sorry, that was a typo. Your formula is correct. That's the one that I used to solve the problem!

Answer 5

Yeah thank you very much, do you have any idea as to how the second one could be solved? The way I see it's pretty much impossible :S.