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→Algebraic: we might as well also show taylor series for cosine and tangent here |
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\end{align}</math>
where {{tmath|\theta}} is the angle in radians. For very small angles, higher powers of {{tmath|\theta}} become extremely small, for instance if {{tmath|1= \theta = 0.01}}, then {{tmath|1= \theta^3 = 0.000\,001}}, just one ten-thousandth of {{tmath|\theta}}. Thus for many purposes it is safe to drop the cubic and higher terms and approximate the sine and tangent of a small angle as
<math display=block>\sin\theta \approx \tan\theta \approx \theta.</math>
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