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

The general solution for csc(x-pi/3)=2 is x=2pin+pi/2 ,x=2pin+(7pi)/6

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csc(x-pi/3)=2

csc (x - \frac{π}{3}) = 2

x = 2 πn + \frac{π}{2}, x = 2 πn + \frac{7 π}{6}

Solution steps

csc (x - \frac{π}{3}) = 2

General solutions for

csc (x - \frac{π}{3}) = 2

x - \frac{π}{3} = \frac{π}{6} + 2 πn, x - \frac{π}{3} = \frac{5 π}{6} + 2 πn

Solve

x - \frac{π}{3} = \frac{π}{6} + 2 πn : x = 2 πn + \frac{π}{2}

Solve

x - \frac{π}{3} = \frac{5 π}{6} + 2 πn : x = 2 πn + \frac{7 π}{6}

x = 2 πn + \frac{π}{2}, x = 2 πn + \frac{7 π}{6}

sin (θ) = \frac{11}{6}

x, 5 cos (5 x) = 0

sin (3 x) - sin (5 x) = 0

tan (x) = \frac{5}{13}

2 sec (θ) - 7 = 0

What is the general solution for csc(x-pi/3)=2 ?
The general solution for csc(x-pi/3)=2 is x=2pin+pi/2 ,x=2pin+(7pi)/6