Question

Giải pt: C) tan ( 45° - x/2 ) = √3/3

Answer 1

\(tan\left(45^0-\dfrac{x}{2}\right)=\dfrac{\sqrt{3}}{3}\)

\(\Rightarrow45^0-\dfrac{x}{2}=30^0\Rightarrow\dfrac{x}{2}=15^0\Rightarrow x=30^0\)

Answer 2

\(tan\left(45^0-\dfrac{x}{2}\right)=\dfrac{\sqrt{3}}{3}\)

\(\Leftrightarrow tan\left(45^0-\dfrac{x}{2}\right)=tan\left(30^0\right)\)

\(\Leftrightarrow45^0-\dfrac{x}{2}=30^0+k180^0\)

\(\Leftrightarrow\dfrac{x}{2}=15^0+k180^0\)

\(\Leftrightarrow x=30^0+k360^0\) (\(k\in Z\))