divpatel divpatel

17-02-2019
Mathematics

contestada

Solve the equation on the interval 0 ≤ θ < 2π.

2 cos ^2 θ - 3 cos θ + 1 = 0

Would really appreciate answer for this.

Respuesta :

danieljelin danieljelin

17-02-2019

Answer:

{0, π/3, 5π/3}

Step-by-step explanation:

Let x = cos θ. Then:

2x² - 3x + 1 = 0

x = (3 ± 1)/4

x1 = 1, x2 = 1/2

If cos θ = 1, then θ = 0

If cos θ = 1/2, then θ = π/3 or 5π/3

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