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

Solution steps

cos (θ) = \frac{2 3}{5}

Apply trig inverse properties

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

cos (2 x) (sin (x) + \frac{2}{2}) = 0

5 sin (θ) = 5

2 sin (3 x) = 2, 0 \leq x \leq 2 π

7.9615 = 59.2153 cos (x) - 12 sin (x)

1 - tan (x) = 0

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