9000046503 | math4u.vsb.cz

SubArea:

Trigonometric equations and inequalities

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.

tg (- x + \frac{π}{6}) = \sqrt{3}

substitution

- x + \frac{π}{6} = z

tg (- x) = \sqrt{3} - \frac{π}{6}

{tg}^{2} (- x + \frac{π}{6}) = 3

\frac{\sin (- x + \frac{π}{6})}{\cos (- x + \frac{π}{6})} = \sqrt{3}