What is the general solution for 3csc(x)=6 ?

The general solution for 3csc(x)=6 is x= pi/6+2pin,x=(5pi)/6+2pin

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3csc(x)=6

3 csc (x) = 6

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

Solution steps

3 csc (x) = 6

Divide both sides by

3

csc (x) = 2

General solutions for

csc (x) = 2

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

θ, x = sin (θ)

cos^{2} (x) - \frac{3}{2} cos (2 x) = 0

- 12 - 3 tan (θ) = - 12 + 3

12 cosh (2 x) + 7 sinh (x) - 24 = 0

sec^{2} (θ) - 1 = 0

What is the general solution for 3csc(x)=6 ?
The general solution for 3csc(x)=6 is x= pi/6+2pin,x=(5pi)/6+2pin