14.5: Expresiones trigonométricas y de cálculo de uso frecuente

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Apéndice E.PNG

\ begin {alineado} &\ sin\ theta=\ mathrm {a/c}\\ [4pt] &\ cos\ theta=\ mathrm {b/c}\\ [4pt] &\ tan\ theta=\ mathrm {a/b}\\ [4pt] &\ mathrm {a^ {2} +b^ {2} =c^ {2}
\ sin ^ {2}\ theta+\ cos ^ {2}\ theta=1\\ [4pt]
&\ mathrm {e} ^ {\ mathrm {j}\ theta} =\ cos\ theta+\ mathrm {j}\ sin\ theta\ \ [4pt]
& (\ mathrm {d}/\ mathrm {d}\ theta)\ sin\ theta=\ cos\ theta\\ [4pt]
& (\ mathrm {d}/\ mathrm {d}\ theta)\ cos\ theta=-\ sin\ theta\ [4pt]
& (\ mathrm {d}/\ mathrm {d}/\ mathrm {d}/\ mathrm {d}}\ mathrm {x})\ mathrm {e} ^ {\ mathrm {f} (\ mathrm {x})} = [\ mathrm {df} (\ mathrm {x})/\ mathrm {d}\ mathrm {x}]\ mathrm {e} ^ {\ mathrm {f} (\ mathrm {x})}\\ [4pt]
&\ mathrm {a} ^ {\ mathrm {x}} =\ left (\ mathrm {e} ^ {\ ln\ mathrm {a}}\ right) ^ {\ mathrm {x}}\\ [4pt] & (\ mathrm {a}}\ mathrm {x}}\\ [4pt]
& (\ mathrm {a}}\ mathrm

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^ {\ mathrm {n} +1}/(\ mathrm {n} +1)\ end {alineado}