Find all angles, 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ , that solve the following equation.cosine, theta, equals, 1cosθ=1
Question
Find all angles, 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ , that solve the following equation.cosine, theta, equals, 1cosθ=1
Solution
The equation given is cos(θ) = 1.
The cosine function equals 1 at two points in the unit circle: at 0 degrees and 360 degrees. However, since the question specifies that 0 degrees is less than or equal to theta and theta is less than 360 degrees, the only solution within this range is θ = 0 degrees.
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