What is the general solution for 3sec^2(x)-3sec(x)=6 ?

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

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3sec^2(x)-3sec(x)=6

3 sec^{2} (x) - 3 sec (x) = 6

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

Solution steps

3 sec^{2} (x) - 3 sec (x) = 6

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

tan (2 θ) = - 3

sin (x) + cos (x) = \frac{2}{5}

2 cos (x) + 2 sin (x) cos (x) = 0

100 cos (3 0^{\circ}) - 200 cos (θ) = 0

x, y = sin (2 x + 3 y)

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