The equations y is equal to tangent squared of x and y is equal to 1 are graphed here. According to the graph, which of the following is part of the solution to the trigonometric inequality tangent squared of x is less than 1 over the interval 0 is less than or equal to x comma x is less than or equal to 2 pi radians?
A
x is equal to 2 pi over 3B
x is equal to 3 pi over 2C
x is equal to 4 pi over 3At x = π/6, tan(π/6) = 1/√3, so tan²(π/6) = 1/3, which is less than 1. Thus x = π/6 is part of the solution. The other defined choices have tan²(x) = 3, and tan(3π/2) is undefined.
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