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

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

5 sin (θ) = 5

2 sin (3 x) = 2, 0 \leq x \leq 2 π

1 - tan (x) = 0

2 cos^{2} (x) - 3 cos (x) = 0, 0^{\circ} < x < 18 0^{\circ}

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