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Which of the following functions is equal to sin(θ+360°)?

Question

Which of the following functions is equal to sin(θ+360°)?

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Solution

The function that is equal to sin(θ+360°) is sin(θ).

Here's why:

The sine function has a period of 360°. This means that the value of the sine function repeats every 360°.

So, sin(θ+360°) is the same as sin(θ) because adding 360° to the angle θ doesn't change the value of the sine function.

In other words, sin(θ+360°) = sin(θ) for any angle θ.

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