What is the general solution for sec((5θ)/4)=2 ?

The general solution for sec((5θ)/4)=2 is θ=(4pi}{15}+\frac{8pin)/5 ,θ=(4pi)/3+(8pin)/5

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sec((5θ)/4)=2

sec (\frac{5 θ}{4}) = 2

θ = \frac{4 π}{15} + \frac{8 πn}{5}, θ = \frac{4 π}{3} + \frac{8 πn}{5}

Solution steps

sec (\frac{5 θ}{4}) = 2

General solutions for

sec (\frac{5 θ}{4}) = 2

\frac{5 θ}{4} = \frac{π}{3} + 2 πn, \frac{5 θ}{4} = \frac{5 π}{3} + 2 πn

Solve

\frac{5 θ}{4} = \frac{π}{3} + 2 πn : θ = \frac{4 π}{15} + \frac{8 πn}{5}

Solve

\frac{5 θ}{4} = \frac{5 π}{3} + 2 πn : θ = \frac{4 π}{3} + \frac{8 πn}{5}

θ = \frac{4 π}{15} + \frac{8 πn}{5}, θ = \frac{4 π}{3} + \frac{8 πn}{5}

sin^{2} (x) = 1 - cos (x)

3 sec (x) - 4 cos (x) = 0

arctan (x) = \frac{π}{2}

sin^{2} (x) - \frac{1}{2} = 0

cos (2 x) + 3 sin (x) = 2

What is the general solution for sec((5θ)/4)=2 ?
The general solution for sec((5θ)/4)=2 is θ=(4pi}{15}+\frac{8pin)/5 ,θ=(4pi)/3+(8pin)/5