Small-angle approximation: Difference between revisions

Revision as of 03:47, 30 October 2005

Revision as of 03:52, 30 October 2005

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<math>\tan x \simeq x</math>

The following key characteristic can be derived from the above for a right triangle with sides A, B, and H, where H is the hypothenuse and A is the side opposite angle x:

<math>\sin x =\simeq \tan x</math>

<math>\frac{A}{H} =\simeq \frac{A}{YB}</math>

<math>H =\simeq YB</math>