What is the general solution for csc(2x)=2,0<= x<2pi ?

The general solution for csc(2x)=2,0<= x<2pi is x= pi/(12),x=(5pi)/(12),x=(13pi)/(12),x=(17pi)/(12)

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csc(2x)=2,0<= x<2pi

csc (2 x) = 2, 0 \leq x < 2 π

x = \frac{π}{12}, x = \frac{5 π}{12}, x = \frac{13 π}{12}, x = \frac{17 π}{12}

Solution steps

csc (2 x) = 2, 0 \leq x < 2 π

General solutions for

csc (2 x) = 2

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

Solve

2 x = \frac{π}{6} + 2 πn : x = \frac{π}{12} + πn

Solve

2 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{12} + πn

x = \frac{π}{12} + πn, x = \frac{5 π}{12} + πn

Solutions for the range

0 \leq x < 2 π

x = \frac{π}{12}, x = \frac{5 π}{12}, x = \frac{13 π}{12}, x = \frac{17 π}{12}

sin (x) + cos (x) = 1.2

30 cos (30 x) + 14 = - 16

x, cot (- x) cos (- x) + sin (- x) = - \frac{1}{f}

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

10 cos^{2} (x) + 5 cos (x) - 5 = 0

What is the general solution for csc(2x)=2,0<= x<2pi ?
The general solution for csc(2x)=2,0<= x<2pi is x= pi/(12),x=(5pi)/(12),x=(13pi)/(12),x=(17pi)/(12)