What is the domain of y = tan x?
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Answer:
Domain: (θ∣θ≠kπ2, where k is an odd integer)
Range: (−∞,∞)
Explanation:
Remember that tan=sincos therefore, you will have a vertical asymptope whenever cos=0. Cos=0 every odd multiple of π2.
If you plug y=tan(x) into a graphing calculator you will see that the ends of each section continue on infinitely along the y-axis.
Hope that it will help you
Domain: (θ∣θ≠kπ2, where k is an odd integer)
Range: (−∞,∞)
Explanation:
Remember that tan=sincos therefore, you will have a vertical asymptope whenever cos=0. Cos=0 every odd multiple of π2.
If you plug y=tan(x) into a graphing calculator you will see that the ends of each section continue on infinitely along the y-axis.
Hope that it will help you
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Thanks.
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The domain of y = tan(x) is all real numbers, x, such that x ≠ (π/2) + πk, where k is any integer.
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