Question

find the value of theta in
2cos^2 theta = 1/2


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Answer 1

Answer:

60

Step-by-step explanation:

2cos^2 theta = 1 / 2

cos^2 theta = 1 / 4

cos theta = 1/2

theta = 60

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Answer 2

Answer:

∴θ = π/3 or 4π/3.

Step-by-step explanation:

2 cos²θ = 1/2

cos²θ = 1/2*2

cos²θ = 1/4

cosθ = √(1/4)

cosθ = ±1/2

When, cosθ = +1/2

cos(π/3) = 1/2

∴ θ = π/3

When, cosθ = -1/2

cosθ = -cos π/3

cos(π+θ) = -cosθ

cos(π+π/3) = -1/2

cos(4π/3) = -1/2