What is the general solution for solvefor θ,cos(θ)= 6/(sqrt(85)) ?

The general solution for solvefor θ,cos(θ)= 6/(sqrt(85)) is θ=0.86217…+2pin,θ=2pi-0.86217…+2pin

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solvefor θ,cos(θ)= 6/(sqrt(85))

solve for

θ, cos (θ) = \frac{6}{85}

θ = 0.86217 \dots + 2 πn, θ = 2 π - 0.86217 \dots + 2 πn

Solution steps

cos (θ) = \frac{6}{85}

Simplify

\frac{6}{85} : \frac{6 85}{85}

Apply trig inverse properties

θ = arccos (\frac{6 85}{85}) + 2 πn, θ = 2 π - arccos (\frac{6 85}{85}) + 2 πn

Show solutions in decimal form

θ = 0.86217 \dots + 2 πn, θ = 2 π - 0.86217 \dots + 2 πn

\frac{sin ( 8 0 ^{\circ} )}{5} = \frac{sin ( x )}{4}, x \cdot \frac{180}{π} = y

6 sin^{2} (x) - 3 = 0

sin^{2} (x) = 2 cos (x) - 1

cos (x^{3}) = 0

2 cos^{2} (θ) = sin (θ) + 1

What is the general solution for solvefor θ,cos(θ)= 6/(sqrt(85)) ?
The general solution for solvefor θ,cos(θ)= 6/(sqrt(85)) is θ=0.86217…+2pin,θ=2pi-0.86217…+2pin