What is the general solution for cos(θ)= 8/17 ?

The general solution for cos(θ)= 8/17 is θ=1.08083…+2pin,θ=2pi-1.08083…+2pin

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cos(θ)= 8/17

cos (θ) = \frac{8}{17}

θ = 1.08083 \dots + 2 πn, θ = 2 π - 1.08083 \dots + 2 πn

Degrees

θ = 61.92751 \dots^{\circ} + 36 0^{\circ} n, θ = 298.07248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{8}{17}

Apply trig inverse properties

cos (θ) = \frac{8}{17}

General solutions for

cos (θ) = \frac{8}{17}

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

θ = arccos (\frac{8}{17}) + 2 πn, θ = 2 π - arccos (\frac{8}{17}) + 2 πn

θ = arccos (\frac{8}{17}) + 2 πn, θ = 2 π - arccos (\frac{8}{17}) + 2 πn

Show solutions in decimal form

θ = 1.08083 \dots + 2 πn, θ = 2 π - 1.08083 \dots + 2 πn

2 tan (\frac{x}{2}) - csc (x) = 0

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

cos (4 x) = \frac{2}{2}

2 sin (θ) = - 2

3 cot (t) - 1 = 0

What is the general solution for cos(θ)= 8/17 ?
The general solution for cos(θ)= 8/17 is θ=1.08083…+2pin,θ=2pi-1.08083…+2pin