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

The general solution for cos(θ)=(2sqrt(5))/5 is θ=0.46364…+2pin,θ=2pi-0.46364…+2pin

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cos(θ)=(2sqrt(5))/5

cos (θ) = \frac{2 5}{5}

θ = 0.46364 \dots + 2 πn, θ = 2 π - 0.46364 \dots + 2 πn

Solution steps

cos (θ) = \frac{2 5}{5}

Apply trig inverse properties

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

Show solutions in decimal form

θ = 0.46364 \dots + 2 πn, θ = 2 π - 0.46364 \dots + 2 πn

cos (x) sin (x) = sin^{2} (x)

- 3 sin (x) + 2 = 0

cot (x) = - 0.6

3 sin (x) - cos (x) = 1

tan (x) = - 0.73

What is the general solution for cos(θ)=(2sqrt(5))/5 ?
The general solution for cos(θ)=(2sqrt(5))/5 is θ=0.46364…+2pin,θ=2pi-0.46364…+2pin