What is the general solution for csc(x/4)=sqrt(2) ?

The general solution for csc(x/4)=sqrt(2) is x=pi+8pin,x=3pi+8pin

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csc(x/4)=sqrt(2)

csc (\frac{x}{4}) = 2

x = π + 8 πn, x = 3 π + 8 πn

Solution steps

csc (\frac{x}{4}) = 2

General solutions for

csc (\frac{x}{4}) = 2

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

Solve

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

Solve

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

x = π + 8 πn, x = 3 π + 8 πn

4 cos (θ) = sec (θ)

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

cot (θ) + 4 csc (θ) = 6

sin (x) 2 = - sin (x)

tan^{3} (x) = 1

What is the general solution for csc(x/4)=sqrt(2) ?
The general solution for csc(x/4)=sqrt(2) is x=pi+8pin,x=3pi+8pin