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And here is your shmoop de jour.

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What is the tangent of a forty-five degrees?

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And here are the potential answers...

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Since we want to know what the tangent of forty-five degrees

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is, we can use the half angle formula with ninety degrees because

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ninety divided by two is 45. So

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we just plug in ninety for X and a half angle formula here

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Tangent ninety over two equals one minus cosine

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ninety over sine of ninety. Cosine of 90 is 0 and Sine of 90 is 1

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our equation now looks a lot more welcoming and tangent of ninety divided by 2

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equals one number one

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so we've simplified and tangent of forty-five equals 1.

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So there you go, it's answer C.

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