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By extension, since the cosine of a small angle is very nearly 1, and the tangent is given by the sine divided by the cosine,
<math display="block">\tan \theta \approx \sin \theta \approx \theta,</math>
==== Dual numbers ====
By using the Maclaurin series of cosine and sine and substituting in θ=θε, where ε is the symbol used in dual numbers, often considered similar to an infinitesimal amount, with a square of 0, the result is that cos(θε)=1 and sin(θε)=θε.
==Error of the approximations==
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