Leysa cotθ | Microsoft stærðfræði leysa

Diffra með hliðsjón af θ

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Deila

Afritað á klemmuspjald

\frac{\mathrm{d}}{\mathrm{d}\theta }(\frac{\cos(\theta )}{\sin(\theta )})

Nota skilgreiningu kótangens.

\frac{\sin(\theta )\frac{\mathrm{d}}{\mathrm{d}\theta }(\cos(\theta ))-\cos(\theta )\frac{\mathrm{d}}{\mathrm{d}\theta }(\sin(\theta ))}{\left(\sin(\theta )\right)^{2}}

Fyrir hver tvö diffranleg föll er afleiða hlutfalls tveggja falla samnefnarinn sinnum afleiða teljarans mínus teljarinn sinnum afleiða samnefnarans og deilt í útkomuna samnefnaranum í öðru veldi.

\frac{\sin(\theta )\left(-\sin(\theta )\right)-\cos(\theta )\cos(\theta )}{\left(\sin(\theta )\right)^{2}}

Afleiða sin(\theta ) er cos(\theta ) og afleiða cos(\theta ) er−sin(\theta ).

-\frac{\left(\sin(\theta )\right)^{2}+\left(\cos(\theta )\right)^{2}}{\left(\sin(\theta )\right)^{2}}

Einfaldaðu.

-\frac{1}{\left(\sin(\theta )\right)^{2}}

Notaðu pýþagórska aljöfnu.

-\left(\csc(\theta )\right)^{2}

Notaðu skilgreiningu kósekans.