Solve cos(2x) = 1/2

Evaluate

cos (2 x) = \frac{1}{2}

Use the inverse trigonometric function

2 x = arccos (\frac{1}{2})

Calculate

2 x = \frac{π}{3} 2 x = \frac{5 π}{3}

Add the period of 2 kπ, k \in Z to find all solutions

2 x = \frac{π}{3} + 2 kπ, k \in Z 2 x = \frac{5 π}{3} + 2 kπ, k \in Z

Calculate

More Steps

x = \frac{π}{6} + kπ, k \in Z 2 x = \frac{5 π}{3} + 2 kπ, k \in Z

Calculate

More Steps

x = \frac{π}{6} + kπ, k \in Z x = \frac{5 π}{6} + kπ, k \in Z

Solution

x = {\frac{π}{6} + kπ \frac{5 π}{6} + kπ, k \in Z

Alternative Form

x = {3 0^{\circ} + 18 0^{\circ} k 15 0^{\circ} + 18 0^{\circ} k, k \in Z

Alternative Form

x \approx {0.523599 + kπ 2.617994 + kπ, k \in Z

Solve the equation