Small-angle approximation: Difference between revisions

Revision as of 07:07, 11 March 2022

Revision as of 12:54, 11 March 2022

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Example: sin(0.755)

<math display="block">\begin{align}

:{|

|\sin(0.755) ||&= \sin(0.75 + 0.005) \\

& \approx \sin(0.75) + (0.005) \cos(0.75) \\

|-

|& ||≈\approx sin(0.756816) + (0.005) cos(0.757317) \\

|& ||≈\approx 0.6853.

|-

\end{align}</math>

| ||≈ (0.6816) + (0.005)(0.7317)

|where [Obtainedthe values for sin(0.75) and cos(0.75) valuesare obtained from trigonometric table]

|-

| ||≈ 0.6853.

|}

== See also ==