Be careful! Is the function always continuous?

Calculus Level 3

Which of the following statements is/are true?

(1): \( \displaystyle \int_0^{2\pi} \sin x \, dx = 0 \).
(2): \( \displaystyle \int_0^{2\pi} \cos x \, dx = 0 \).
(3): \( \displaystyle \int_0^{2\pi} \tan x \, dx = 0 \).

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