Rešite cotθ | Microsoftov reševalec matematičnih operacij

Odvajajte w.r.t. θ

Ovrednoti

Graf

Kviz

Trigonometry

Podobne težave pri spletnem iskanju

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

Delež

Kopirano v odložišče

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

Uporabite definicijo 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 kateri koli dve odvedljivi funkciji je odvod kvocienta dveh funkcij imenovalec krat odvod števca minus števec krat odvod imenovalca, vse skupaj pa je deljeno s kvadratom imenovalca.

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

Odvod sin(\theta ) je cos(\theta ), odvod cos(\theta ) pa −sin(\theta ).

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

Poenostavite.

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

Uporabite Pitagorovo identiteto.

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

Uporabite definicijo kosekanse.