What is the general solution for sin((75pi)/(11))=sin((xpi)/(11)) ?

The general solution for sin((75pi)/(11))=sin((xpi)/(11)) is x=2+22n,x=9+22n

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sin((75pi)/(11))=sin((xpi)/(11))

sin (\frac{75 π}{11}) = sin (\frac{x π}{11})

x = 2 + 22 n, x = 9 + 22 n

Solution steps

sin (\frac{75 π}{11}) = sin (\frac{x π}{11})

Switch sides

sin (\frac{x π}{11}) = sin (\frac{75 π}{11})

Apply trig inverse properties

\frac{x π}{11} = arcsin (sin (\frac{75 π}{11})) + 2 πn, \frac{x π}{11} = π - arcsin (sin (\frac{75 π}{11})) + 2 πn

Solve

\frac{x π}{11} = arcsin (sin (\frac{75 π}{11})) + 2 πn : x = 2 + 22 n

Solve

\frac{x π}{11} = π - arcsin (sin (\frac{75 π}{11})) + 2 πn : x = 9 + 22 n

x = 2 + 22 n, x = 9 + 22 n

sec^{2} (θ) = \frac{4}{3}

cos (x) = \frac{5}{3}

1 + cos (x) = 1

csc (x) sec (x) = tan (x)

sin^{4} (x) = 1 - cos^{4} (x)

What is the general solution for sin((75pi)/(11))=sin((xpi)/(11)) ?
The general solution for sin((75pi)/(11))=sin((xpi)/(11)) is x=2+22n,x=9+22n