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+2 votes
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in Mathematics by (130k points)

Find the principal and general solutions of the following equations: cosec x = – 2

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Best answer

cosec x = -2 

1/sinx = -2 

-2 sin x = 1 

sin x = -1/2 

x = arcsin (-1/2) = -π/6 ... principle solution 

x = π + π/6 ± 2nπ or x = 2π - π/6 ± 2nπ 

x = 7π/6 ± 2nπ or x = 11π/6 ± 2nπ ... general solution

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