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

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

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2sec(θ)+2=6

2 sec (θ) + 2 = 6

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

Solution steps

2 sec (θ) + 2 = 6

Move

2

to the right side

2 sec (θ) = 4

Divide both sides by

2

sec (θ) = 2

General solutions for

sec (θ) = 2

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

4 cos (x) tan (x) = 3 tan (x)

3 sin (x) = 1 + sin (x)

2 sin (x - \frac{π}{6}) + 1 = 0

3 - 3 sin (θ) = 6 cos^{2} (θ)

sin (x) + sin^{2} (x) + cos^{2} (x) = 1

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