Question

Question #01a4e

Answer 1

Rearrange and solve

Explanation:

`csc^2(x/2) = 2secx`
`1/(sin^2(x/2)) = 2/cosx`
`cosx = 2sin^2(x/2)`
`1-2sin^2(x/2) = 2sin^2(x/2)`
`sin^2(x/2) = 1/4`
`sin(x/2) = \pm 1/2`
`x/2 = pi/6 + kpi,(5pi)/6+kpi`
`x = pi/3+2kpi,(5pi)/3+2kpi`