Løs cotθ | Microsoft Problemløser til matematik

Differentier w.r.t. θ

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Trigonometry

5 problemer svarende til:

Lignende problemer fra websøgning

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

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

Brug definitionen af cotangens.

\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}}

For to vilkårlige differentiable funktioner er afledningen af kvotienten for to funktioner lig med nævneren gange afledningen af tælleren minus tælleren gange afledningen af nævneren, alle sammen divideret med kvadratet af nævneren.

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

Afledningen af sin(\theta ) er cos(\theta ), og afledningen af cos(\theta ) er −sin(\theta ).

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

Forenkling.

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

Brug Pythagoras-identiteten.

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

Brug definitionen af cosekant.