The monotone increasing interval of function y = 2tan (3x + π / 6) is?
The increasing interval of y = TaNx is
(-π/2+kπ,π/2+kπ)(k∈Z)
Replace 3x + π / 6 as a whole
Let him satisfy the monotone increasing interval of X
-π/2+kπ<3x+π/6<π/2+kπ
-2π/3+kπ<3x<π/3+kπ
So the monotone increasing interval is (- 2 π + 3K π, π + 3K π)
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