Small angle approximation is a way of estimating angles in radians, where the angle is small (less than 3 or 4 degrees).
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<math>\tan x \simeq x</math>
TheIn followingother keywords, characteristicutilizing canthe besmall-angle approximation derivedassumes fromthat the abovehypothenuse forof a right triangle withis sidesapproximately A,equal B,in andlength H, where H isto the hypothenuseside andadjacent A isto the side oppositesmall angle x:.
<math>\sin x \simeq \tan x</math>
<math>\frac{A}{H} \simeq \frac{A}{B}</math>
<math>H \simeq B</math>
These formulas can be derived from the [[Taylor series]] expansion of trigonometric functions and chopping off the higher-order terms.
In other words, utilizing the small-angle approximation assumes that the hypothenuse (H) of a right triangle is approximately equal in length to the side (B) adjacent to the small angle (x).
