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Question

Domain and range of trigonometric functions.

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Solution

sin(x) • Domain: R = (−∞,∞)
Range: [−1, 1]
Period: 2π
cos(x) • Domain: R
• Range: [−1, 1]
• Period: 2π
tan(x) • Domain: {x|x 6= π 2 + kπ, k = ..., −1, 0, 1, ...} = {x|x 6= ..., − 3π 2 , − π 2 , π 2 , 3π 2 , ...}
• Range: R
• Period: π

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