What is the general solution for cos(θ)= 3/7 ?

The general solution for cos(θ)= 3/7 is θ=1.12788…+2pin,θ=2pi-1.12788…+2pin

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cos(θ)= 3/7

cos (θ) = \frac{3}{7}

θ = 1.12788 \dots + 2 πn, θ = 2 π - 1.12788 \dots + 2 πn

Degrees

θ = 64.62306 \dots^{\circ} + 36 0^{\circ} n, θ = 295.37693 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{3}{7}

Apply trig inverse properties

cos (θ) = \frac{3}{7}

General solutions for

cos (θ) = \frac{3}{7}

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

θ = arccos (\frac{3}{7}) + 2 πn, θ = 2 π - arccos (\frac{3}{7}) + 2 πn

θ = arccos (\frac{3}{7}) + 2 πn, θ = 2 π - arccos (\frac{3}{7}) + 2 πn

Show solutions in decimal form

θ = 1.12788 \dots + 2 πn, θ = 2 π - 1.12788 \dots + 2 πn

1 - 2 cos (x) = 0

2 cos^{2} (θ) - cos (θ) - 1 = 0

cos^{2} (x) + sin (x) + 1 = 0

cos (x) - 2 sin (x) cos (x) = 0

sin^{4} (θ) = \frac{cos ^{2} ( θ )}{2}

What is the general solution for cos(θ)= 3/7 ?
The general solution for cos(θ)= 3/7 is θ=1.12788…+2pin,θ=2pi-1.12788…+2pin