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What is the formula of tan x?

Updated: 10/23/2022
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In a right triangle, where the angle "x" is adjacent to the hypotenuse, the tangent of that angle would be the length of the opposite side divided by the length of the adjacent side (not the hypotenuse).

For instance, consider a right triangle with the following side lengths:

A = 3

B = 4

C = 5

B is the hypotenuse. The tangent of the angle between sides A and C would be B/A, or 4/3. The tangent of the angle between sides B and C would be B/A, or 3/4.

This is often taught with the memorisation acronym "SOHCAHTOA":

(S)ine = (O)pposite / (H)ypotenuse

(C)osine = (A)djacent / (H)ypotenuse

(T)angent = (O)pposite / (A)djacent

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The tangent formula for a right angle triangle is tangent = opposite/adjacent20^\circ20​∘​​77??CCBBAA


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