Select the best answer.cos(180° + θ) =
Question
Select the best answer.cos(180° + θ) =
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Solution
The answer is -cos(θ).
Here's the step-by-step explanation:
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The cosine function, cos(θ), is a periodic function with a period of 360°. This means that cos(θ + 360°) = cos(θ) for any angle θ.
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However, when we add 180° instead of 360°, we move to a point on the unit circle that is directly opposite the original point. This flips the sign of the cosine function.
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Therefore, cos(180° + θ) = -cos(θ).
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