Trigonometry - Trigonometric Equations

IB AA SL: core and optional content

Core: rearranging the equation for tan x and solving on the stated interval (SL route solution). Optional: the compound-angle identity for tan(A+B) used in the default solution.

Find all the angles between \(0{}^\circ \) and \(360{}^\circ \) which satisfy the equation \(\frac{\tan 15{}^\circ + \tan x}{1 - \tan x \tan 15{}^\circ} = 2\).