ExampleSimplify:costan-1x,x∈(-∞,∞).Becausexis arbitrary in (-∞,∞), we will not be able to findθ∈(-π/2, π/2) for whichtanθ=x. A better approach is to look at the right triangle inscribed in a circle of radiusrassociated with such an angleθ. The informationtanθ=x=x1tells us that such a triangle has vertical legx, horizontal leg 1, and hypotenuse (also the radius
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