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If this number is smaller than this number,
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the reciprocal of this number
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is bigger than the reciprocal of this number.
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Three is smaller than ten; 1/3 is bigger than 1/10.
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Same thing.
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So, I'm somehow used to tangent better than the cot,
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so I flip this over and I flip that over
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and I also changed less than to bigger than.
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This way we can understand
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tan(θ) has to be bigger than some number.
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That means θ has to be bigger than some number,
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because tan(θ) increases with θ.