What is the general solution for cos(θ)=(2sqrt(3))/5 ?

The general solution for cos(θ)=(2sqrt(3))/5 is θ=0.80540…+2pin,θ=2pi-0.80540…+2pin

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cos(θ)=(2sqrt(3))/5

cos (θ) = \frac{2 3}{5}

θ = 0.80540 \dots + 2 πn, θ = 2 π - 0.80540 \dots + 2 πn

Degrees

θ = 46.14622 \dots^{\circ} + 36 0^{\circ} n, θ = 313.85377 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{2 3}{5}

Apply trig inverse properties

cos (θ) = \frac{2 3}{5}

General solutions for

cos (θ) = \frac{2 3}{5}

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

θ = arccos (\frac{2 3}{5}) + 2 πn, θ = 2 π - arccos (\frac{2 3}{5}) + 2 πn

θ = arccos (\frac{2 3}{5}) + 2 πn, θ = 2 π - arccos (\frac{2 3}{5}) + 2 πn

Show solutions in decimal form

θ = 0.80540 \dots + 2 πn, θ = 2 π - 0.80540 \dots + 2 πn

What is the general solution for cos(θ)=(2sqrt(3))/5 ?
The general solution for cos(θ)=(2sqrt(3))/5 is θ=0.80540…+2pin,θ=2pi-0.80540…+2pin