What is the general solution for sec((3x)/2)=-2 ?

The general solution for sec((3x)/2)=-2 is x=(4pi)/9+(4pin)/3 ,x=(8pi)/9+(4pin)/3

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sec((3x)/2)=-2

sec (\frac{3 x}{2}) = - 2

x = \frac{4 π}{9} + \frac{4 πn}{3}, x = \frac{8 π}{9} + \frac{4 πn}{3}

Solution steps

sec (\frac{3 x}{2}) = - 2

General solutions for

sec (\frac{3 x}{2}) = - 2

\frac{3 x}{2} = \frac{2 π}{3} + 2 πn, \frac{3 x}{2} = \frac{4 π}{3} + 2 πn

Solve

\frac{3 x}{2} = \frac{2 π}{3} + 2 πn : x = \frac{4 π}{9} + \frac{4 πn}{3}

Solve

\frac{3 x}{2} = \frac{4 π}{3} + 2 πn : x = \frac{8 π}{9} + \frac{4 πn}{3}

x = \frac{4 π}{9} + \frac{4 πn}{3}, x = \frac{8 π}{9} + \frac{4 πn}{3}

cos (θ) = - \frac{4}{5}

2 sin (θ) cos (θ) + cos (θ) = 0

cos (2 θ) + 18 sin^{2} (θ) = 13

t, x = cos (t)

x, sin (x) = \frac{1}{2}

What is the general solution for sec((3x)/2)=-2 ?
The general solution for sec((3x)/2)=-2 is x=(4pi)/9+(4pin)/3 ,x=(8pi)/9+(4pin)/3