Question

cosec x =-2 find the principal and general solution​

Answer 1

Answer:

x = 7π/6 ± 2nπ or x = 11π/6 ± 2nπ

Step-by-step explanation:

cosec x = -2

1/sinx = -2

-2 sin x = 1

sin x = -1/2

x = sin^-1 (-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