What is the general solution for 2sec(x)+4=sec(x)+6 ?

The general solution for 2sec(x)+4=sec(x)+6 is x= pi/3+2pin,x=(5pi)/3+2pin

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2sec(x)+4=sec(x)+6

2 sec (x) + 4 = sec (x) + 6

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

Solution steps

2 sec (x) + 4 = sec (x) + 6

Solve by substitution

sec (x) = 2

sec (x) = 2 : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

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

sin^{2} (x) - 5 sin (x) = 0

7 tan (c) + 7 = 2 tan (c) + 1

cos (2 x) cos (x) - sin (2 x) sin (x) = 1

sin (x - \frac{π}{2}) = - \frac{2}{2}

cos (x) = \frac{1}{10}

What is the general solution for 2sec(x)+4=sec(x)+6 ?
The general solution for 2sec(x)+4=sec(x)+6 is x= pi/3+2pin,x=(5pi)/3+2pin