9000046504 | math4u.vsb.cz

SubArea:

Trigonometric equations and inequalities

Level:

Project ID:

9000046504

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.

\cos (x + \frac{π}{3}) = \frac{\sqrt{3}}{2}

substitution

x + \frac{π}{3} = z

\cos^{2} (x + \frac{π}{3}) = \frac{3}{4}

substitution

\frac{\sqrt{3}}{2} = z

\cos x \cdot \cos \frac{π}{3} - \sin x \cdot \sin \frac{π}{3} = \frac{\sqrt{3}}{2}