What is the general solution for 3sec(x)-2sqrt(3)=0 ?

The general solution for 3sec(x)-2sqrt(3)=0 is x= pi/6+2pin,x=(11pi)/6+2pin

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3sec(x)-2sqrt(3)=0

3 sec (x) - 23 = 0

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Solution steps

3 sec (x) - 23 = 0

Move

23

to the right side

3 sec (x) = 23

Divide both sides by

3

sec (x) = \frac{2 3}{3}

General solutions for

sec (x) = \frac{2 3}{3}

x = \frac{π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

2 cos (x) - 3 = - 5

sin (3 θ) - sin (θ) = cos (2 θ)

2 sin (x) + (2 - 3) = 3 csc (x)

tan^{2} (θ) + 4 sec (θ) = - 5

0 = tan (θ)

What is the general solution for 3sec(x)-2sqrt(3)=0 ?
The general solution for 3sec(x)-2sqrt(3)=0 is x= pi/6+2pin,x=(11pi)/6+2pin