What is the general solution for cos(θ)= 5/6 ?

The general solution for cos(θ)= 5/6 is θ=0.58568…+2pin,θ=2pi-0.58568…+2pin

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cos(θ)= 5/6

cos (θ) = \frac{5}{6}

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

Degrees

θ = 33.55730 \dots^{\circ} + 36 0^{\circ} n, θ = 326.44269 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{5}{6}

Apply trig inverse properties

cos (θ) = \frac{5}{6}

General solutions for

cos (θ) = \frac{5}{6}

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

θ = arccos (\frac{5}{6}) + 2 πn, θ = 2 π - arccos (\frac{5}{6}) + 2 πn

θ = arccos (\frac{5}{6}) + 2 πn, θ = 2 π - arccos (\frac{5}{6}) + 2 πn

Show solutions in decimal form

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

cos (2 x) = cos^{2} (x) - \frac{1}{2}

cos (x) = 1, 0 \leq x \leq 2 π

x, cot (- x) cos (- x) + sin (- x) = \frac{- 1}{f}

tan^{2} (x) sin (x) = 3 sin (x)

cos (θ) - sin (2 θ) = 0

What is the general solution for cos(θ)= 5/6 ?
The general solution for cos(θ)= 5/6 is θ=0.58568…+2pin,θ=2pi-0.58568…+2pin