Riješi cotθ | Microsoftov alat za rješavanje matematike

Diferenciraj u odnosu na θ

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Trigonometry

5 problemi slični:

Slični problemi iz pretraživanja weba

https://socratic.org/questions/if-cot-theta-sin-theta-what-quadrant-does-theta-lie

https://socratic.org/questions/how-do-you-find-the-value-of-cot2theta-given-cottheta-4-3-and-pi-theta-3pi-2

https://socratic.org/questions/how-do-you-simplify-cot4theta-to-trigonometric-functions-of-a-unit-theta

https://socratic.org/questions/how-do-you-simplify-cot8theta-to-trigonometric-functions-of-a-unit-theta

https://socratic.org/questions/given-sectheta-0-and-cottheta-0-which-quadrant-does-theta-lie

https://socratic.org/questions/how-do-you-find-the-cosecant-of-theta-is-cotangent-1-and-pi-theta-3-2pi

Dijeliti

Kopirano u međuspremnik

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

Koristite definiciju kotangensa.

\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}}

Za svake dvije različite funkcije, derivacija kvocijenta dviju funkcija jednaka je nazivniku pomnoženom s derivacijom brojnika minus brojniku pomnoženom s derivacijom nazivnika, sve podijeljeno nazivnikom na kvadrat.

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

Derivacija od sin(\theta ) je cos(\theta ), a derivacija od cos(\theta ) −sin(\theta ).

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

Pojednostavnite.

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

Koristite pitagorejski identitet.

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

Koristite definiciju kosekansa.