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

The general solution for sec(2x)=2,0<= x<= 2pi is x= pi/6 ,x=(5pi)/6 ,x=(7pi)/6 ,x=(11pi)/6

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

sec (2 x) = 2, 0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{5 π}{6}, x = \frac{7 π}{6}, x = \frac{11 π}{6}

Solution steps

sec (2 x) = 2, 0 \leq x \leq 2 π

General solutions for

sec (2 x) = 2

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

Solve

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

Solve

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

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

Solutions for the range

0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{5 π}{6}, x = \frac{7 π}{6}, x = \frac{11 π}{6}

sin (x - \frac{π}{4}) = 0

cot (x - \frac{π}{2}) = 1

sec (x) = tan (x)

sin^{4} (x) = sin^{4} (x) sec (x)

sin (10 x) = 0

What is the general solution for sec(2x)=2,0<= x<= 2pi ?
The general solution for sec(2x)=2,0<= x<= 2pi is x= pi/6 ,x=(5pi)/6 ,x=(7pi)/6 ,x=(11pi)/6