Question

If tan (x + 30°) = 1 then find the value of x.

Answer 1

As we know that,
​$$\begin{gathered} \tan 45°=1 \\ \mathrm{Thus}, \\ \mathrm{if}\tan \left(x+30°\right)=1 \\ \Rightarrow x+30°=45° \\ \Rightarrow x=45°-30° \\ \Rightarrow x=15° \\ \mathrm{Hence},\mathrm{the}\mathrm{value}\mathrm{of}x\mathrm{is}15°. \end{gathered}$$