What is the general solution for 3cos(θ)=-2 ?

The general solution for 3cos(θ)=-2 is θ=2.30052…+2pin,θ=-2.30052…+2pin

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3cos(θ)=-2

3 cos (θ) = - 2

θ = 2.30052 \dots + 2 πn, θ = - 2.30052 \dots + 2 πn

Solution steps

3 cos (θ) = - 2

Divide both sides by

3

cos (θ) = - \frac{2}{3}

Apply trig inverse properties

θ = arccos (- \frac{2}{3}) + 2 πn, θ = - arccos (- \frac{2}{3}) + 2 πn

Show solutions in decimal form

θ = 2.30052 \dots + 2 πn, θ = - 2.30052 \dots + 2 πn

sin (x) = \frac{20}{38.59}

sec (A) = 5.29411

sin (x) = \frac{5}{19}

1 = 3 sin (\frac{π}{4} (x - 5)) + 5

sin (x + π) - sin (x) - 1 = 0

What is the general solution for 3cos(θ)=-2 ?
The general solution for 3cos(θ)=-2 is θ=2.30052…+2pin,θ=-2.30052…+2pin