Whakaoti i te coty

$$\cot y$$

Kimi Pārōnaki e ai ki y

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

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Otinga

Whakamahia te tautuhinga o te pātapa taupoki.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{\cos(y)}{\sin(y)})$$

Mō ngā pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te otinga o ngā pānga e rua ko te tauraro whakareatia ki te pārōnaki o te taurunga tango i te taurunga whakareatia ki te pārōnaki o te tauraro, ā, ka whakawehea te katoa ki te tauraro kua pūruatia.

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

Ko te pārōnaki o sin(y) ko cos(y), me te pārōnaki o cos(y) ko −sin(y).

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

Whakarūnātia.

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

Whakamahia te Tuakiri Pythagorean.

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

Whakamahia te tautuhinga o te aho taupoki.

$$-\left(\csc(y)\right)^{2}$$

Aromātai

$$\cot(y)$$