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ບອກຄວາມແຕກຕ່າງ w.r.t. θ

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Trigonometry

ບັນຫາທີ່ຄ້າຍຄືກັນຈາກWeb Search

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

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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

ແບ່ງປັນ

ສໍາເນົາຄລິບ

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

ໃຊ້ຄຳນິຍາມຂອງໂຄແທນເຈນ.

\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}}

ສຳລັບສອງຟັງຊັນໃດກໍຕາມທີ່ຊອກຫາອະນຸພັນໄດ້, ອະນຸພັນຂອງຜົນຫານຂອງສອງຟັງຊັນແມ່ນຕົວຫານ ຄູນໃຫ້ກັບອະນຸພັນຂອງຕົວເສດ ລົບໃຫ້ກັບຕົວເສດ ຄູນໃຫ້ອະນຸພັນຂອງຕົວຫານ, ທັງໝົດຫານໃຫ້ອະນຸພັນທີ່ຂຶ້ນຮາກແລ້ວ.

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

ອະນຸພັນຂອງ sin(\theta ) ແມ່ນ cos(\theta ) ແລະ ອະນຸພັນຂອງ cos(\theta ) ແມ່ນ −sin(\theta ).

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

ເຮັດໃຫ້ງ່າຍ.

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

ໃຊ້ການລະບຸຕົວຕົນທິດສະດີປີຕາກໍຣັສ.

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

ໃຊ້ຄຳນິຍາມຂອງໂຄຊິແຄນ.