Level:
Project ID:
9000046503
Accepted:
1
Clonable:
0
Easy:
1
Identify the optimal first step convenient to solve the following trigonometric
equation. Do not consider the step which is possible but does not help to solve the
equation.
\[
\mathop{\mathrm{tg}}\nolimits \left (-x + \frac{\pi }
{6}\right ) = \sqrt{3}
\]
substitution \( - x + \frac{\pi } {6} = z\)
\(\mathop{\mathrm{tg}}\nolimits (-x) = \sqrt{3} - \frac{\pi } {6}\)
\(\mathop{\mathrm{tg}}\nolimits ^{2}\left (-x + \frac{\pi } {6}\right ) = 3\)
\(\frac{\sin \left (-x+ \frac{\pi }{6} \right )}
{\cos \left (-x+ \frac{\pi }{6} \right )} = \sqrt{3}\)