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Find two values of θ​, 0≤θ<2π, that satisfy the following equation.

Find two values of θ​, 0≤θ<2π, that satisfy the following equation.-example-1

1 Answer

6 votes

Answer:

π/4, 7π/4

Explanation:

You want the values of θ in the range 0 ≤ θ ≤ 2π such that cos(θ) = √2/2.

Cosine

The cosine function has the value √2/2 for angles ±45° = ±π/4 radians and those angles added to an integer multiple of 2π. In the domain of interest, the angles are ...

θ = π/4 and 7π/4

Find two values of θ​, 0≤θ<2π, that satisfy the following equation.-example-1
Find two values of θ​, 0≤θ<2π, that satisfy the following equation.-example-2
User Herb Caudill
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