andreabrann94ovttb6 andreabrann94ovttb6

08-10-2017
Mathematics

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Solve on the interval [0,2pi) : 2 csc x -3 = -5 a- pi/6, 5pi/6 b- 3pi/2 c- 2pi/3, 4pi/3 d- 7pi/6, 11pi/6

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Floki22 Floki22

08-10-2017

[tex]\mathsf{2\cdot csc~x-3=-5}\\ \\ \mathsf{2\cdot csc~x=-5+3}\\ \\ \mathsf{2\cdot csc~x=-2}\\ \\ \mathsf{csc~x=\frac{-2}{2}}\\ \\ \mathsf{csc~x=-1}\\ \\ \mathsf{csc~x=\frac{1}{sen~x}}\\ \\ \mathsf{sen~270\°=-1}\\ \\ \boxed{\mathsf{x=\frac{3\pi}{2}}}[/tex]

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