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

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

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sec((5x)/4)=2

sec (\frac{5 x}{4}) = 2

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

Solution steps

sec (\frac{5 x}{4}) = 2

General solutions for

sec (\frac{5 x}{4}) = 2

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

Solve

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

Solve

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

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

t, 16 sin (t) cos (t) = 6 sin (t)

6 cos (6 t) + 24 sin (6 t) = 0

sin (x) = \frac{50 \cdot sin ( 14 5 ^{\circ} )}{120}

cos^{2} (θ) - cos (θ) = sin^{2} (θ)

sin (x) + 2 sin^{2} (x) = 0

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