Lutasin ang cotθ | Microsoft Math Solver

I-differentiate ang w.r.t. θ

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Trigonometry

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

Gamitin ang definition of cotangent.

\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}}

Para sa anumang dalawang madi-differentiate na function, ang derivative ng quotient ng dalawang function ay ang denominator times ang derivative ng numerator minus ang numerator times ang derivative ng denominator, lahat ng ito ay dini-divide ng denominator squared.

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

Ang derivative ng sin(\theta ) ay cos(\theta ), at ang derivative ng cos(\theta ) ay −sin(\theta ).

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

Pasimplehin.

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

Gamitin ang Pythagorean Identity.

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

Gamitin ang definition of cosecant.