What is the exact value of tan 45?

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Jake M. Share
Mar 26, 2018

$\tan \left({45}^{\circ}\right) = 1$

Explanation:

A 45-45-90 triangle has legs of identical length and a hypotenuse of $\sqrt{2}$ times that.

By SOHCAHTOA, tangent is opposite over adjacent, which are the two legs. Since they have the same length, $\tan \left({45}^{\circ}\right) = 1$

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