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

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

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sec((3θ)/2)=-2

sec (\frac{3 θ}{2}) = - 2

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

Solution steps

sec (\frac{3 θ}{2}) = - 2

General solutions for

sec (\frac{3 θ}{2}) = - 2

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

Solve

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

Solve

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

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

cos (2 x) + sin (x) = 0

arctan (\frac{3}{3})

cos^{2} (x) - 3 sin^{2} (x) = 0

tan (arccos (- \frac{3}{2}))

cos (\frac{5 π}{12})

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