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Simplify cos squared π times sec π times csc π.
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Using some trig identities, we can replace a few of these things and maybe have some things cancel and then we can simplify.
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So we know that the sec π is equal to one over cos π, and then csc π is equal to one over sin π.
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So by replacing those, the cosine on the denominator will cancel with one of the cosines on the numerator.
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Since itβs cosine squared, thatβs the same as having two cosines.
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So on the numerator, we have cosine times one times one, so we have cos π, and then on the bottom, thereβs only a sin of π.
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Now this does simplify a little bit more.
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The reason why is because cosine divided by sine has a relationship because if we would flip that sin of π divided by cos of π, that is equal to tan of π; it simplifies.
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Now we could write that as tan of π over one, so that means that if we would flip that upside down, it would be equal to what we had: cos of π divided by sin of π.
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So we have one divided by the tan of π, and we actually know what that is.
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One divided by the tan of π is equal to the cot of π.
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So after simplifying, our final answer would be cot of π.