What is the general solution for cos(θ)= 2/6 ?

The general solution for cos(θ)= 2/6 is θ=1.23095…+2pin,θ=2pi-1.23095…+2pin

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cos(θ)= 2/6

cos (θ) = \frac{2}{6}

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

Degrees

θ = 70.52877 \dots^{\circ} + 36 0^{\circ} n, θ = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{2}{6}

Cancel the common factor:

2

cos (θ) = \frac{1}{3}

Apply trig inverse properties

cos (θ) = \frac{1}{3}

General solutions for

cos (θ) = \frac{1}{3}

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

θ = arccos (\frac{1}{3}) + 2 πn, θ = 2 π - arccos (\frac{1}{3}) + 2 πn

θ = arccos (\frac{1}{3}) + 2 πn, θ = 2 π - arccos (\frac{1}{3}) + 2 πn

Show solutions in decimal form

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

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

\frac{tan ( x ) ( - tan ^{2} ( x ) + 3 )}{1 - tan ^{2} ( x )} = 0

2 sin (x) - cos (x) = 0.6

2 sin (x) - cos (x) = 0.5

cos (x) - tan (x) = 0

What is the general solution for cos(θ)= 2/6 ?
The general solution for cos(θ)= 2/6 is θ=1.23095…+2pin,θ=2pi-1.23095…+2pin