#1: If and , then find tan x.

Not sure about this, but I reckon you have to change sinx + cosx into the form Rsin(x + theta)

\theta)=Rsinxcos\theta+Rcosxsin\theta" alt="Rsin(x+\theta)=Rsinxcos\theta+Rcosxsin\theta" />

so

Equating terms

and

hence and

so

then find

so you will have

hope this helps, it should be easy to find x now and therefore find tan x.... there is probably an easier way though!!