Solve 8 cos(2\theta ) 4 = 0

Evaluate

8 cos (2 θ) \times 4 = 0

Multiply the terms

32 cos (2 θ) = 0

Multiply both sides of the equation by \frac{1}{32}

32 cos (2 θ) \times \frac{1}{32} = 0 \times \frac{1}{32}

Calculate

cos (2 θ) = 0 \times \frac{1}{32}

Any expression multiplied by 0 equals 0

cos (2 θ) = 0

Use the inverse trigonometric function

2 θ = arccos (0)

Calculate

2 θ = \frac{π}{2}

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

2 θ = \frac{π}{2} + kπ, k \in Z

Solution

More Steps

θ = \frac{π}{4} + \frac{kπ}{2}, k \in Z

Alternative Form

θ = 4 5^{\circ} + 9 0^{\circ} k, k \in Z

Alternative Form

θ \approx 0.785398 + \frac{kπ}{2}, k \in Z

Solve the equation