Mathematics

Mathematics

Problem

Which of the following implicit relations between xx and yy guarantees that any correctly computed dydx\dfrac{dy}{dx} will include a factor of csc⁡2y\csc^{2} y for all points where sin⁡y≠0\sin y \neq 0? a) x+csc⁡y=0x+\csc y=0 b) xtan⁡y+y=0x\tan y+y=0 c) x+cot⁡y=0x+\cot y=0 d) xcsc⁡y+y=0x\csc y+y=0

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