What is the general solution for 8sec^2(x)-8sec(x)=16 ?

The general solution for 8sec^2(x)-8sec(x)=16 is x= pi/3+2pin,x=(5pi)/3+2pin,x=pi+2pin

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8sec^2(x)-8sec(x)=16

8 sec^{2} (x) - 8 sec (x) = 16

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

Solution steps

8 sec^{2} (x) - 8 sec (x) = 16

Solve by substitution

sec (x) = 2, sec (x) = - 1

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

sec (x) = - 1 : x = π + 2 πn

Combine all the solutions

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

50 = 36 sin (\frac{2 π}{365} (t - 101)) + 14

\frac{sin ( x ^{\circ} )}{53} = \frac{sin ( 7 6 ^{\circ} )}{50}

sec (θ) + tan (θ) = 1

x, 2 cos^{2} (x) = 1

sin (2 θ - \frac{π}{3}) = - \frac{1}{2}

What is the general solution for 8sec^2(x)-8sec(x)=16 ?
The general solution for 8sec^2(x)-8sec(x)=16 is x= pi/3+2pin,x=(5pi)/3+2pin,x=pi+2pin