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

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

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cos(θ)=-2/3

cos (θ) = - \frac{2}{3}

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

Degrees

θ = 131.81031 \dots^{\circ} + 36 0^{\circ} n, θ = - 131.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{2}{3}

Apply trig inverse properties

cos (θ) = - \frac{2}{3}

General solutions for

cos (θ) = - \frac{2}{3}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

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

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

8 tan (x) sin (x) = 7 sin (x)

cos (x) = 2 cos (x) - 1

sin^{3} (x) + cos^{3} (x) = 0

- sin (3 x) \cdot 3 = 0

2 sin (4 x) - 2 = 0

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