What is the general solution for cos(θ)=-4/7 ?

The general solution for cos(θ)=-4/7 is θ=2.17904…+2pin,θ=-2.17904…+2pin

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cos(θ)=-4/7

cos (θ) = - \frac{4}{7}

θ = 2.17904 \dots + 2 πn, θ = - 2.17904 \dots + 2 πn

Degrees

θ = 124.84990 \dots^{\circ} + 36 0^{\circ} n, θ = - 124.84990 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{4}{7}

Apply trig inverse properties

cos (θ) = - \frac{4}{7}

General solutions for

cos (θ) = - \frac{4}{7}

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

θ = arccos (- \frac{4}{7}) + 2 πn, θ = - arccos (- \frac{4}{7}) + 2 πn

θ = arccos (- \frac{4}{7}) + 2 πn, θ = - arccos (- \frac{4}{7}) + 2 πn

Show solutions in decimal form

θ = 2.17904 \dots + 2 πn, θ = - 2.17904 \dots + 2 πn

3 sinh (x) + cosh (x) = - 2

cos (2 + 3 \cdot x) - cos (- 0.5) = 0

2 cos (θ) = 1, 0 \leq θ \leq 2 π

arctan (x + 1) + arctan (x - 1) = arctan (\frac{8}{31})

4 cos (2 θ) + 19 = - 22 cos (θ) + 6

What is the general solution for cos(θ)=-4/7 ?
The general solution for cos(θ)=-4/7 is θ=2.17904…+2pin,θ=-2.17904…+2pin