What is the general solution for cos(θ)=(13)/(sqrt(6)*\sqrt{86)} ?

The general solution for cos(θ)=(13)/(sqrt(6)*\sqrt{86)} is θ=0.96149…+2pin,θ=2pi-0.96149…+2pin

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cos(θ)=(13)/(sqrt(6)*\sqrt{86)}

cos (θ) = \frac{13}{6 \cdot 86}

θ = 0.96149 \dots + 2 πn, θ = 2 π - 0.96149 \dots + 2 πn

Solution steps

cos (θ) = \frac{13}{6 86}

Simplify

\frac{13}{6 86} : \frac{13 129}{258}

Apply trig inverse properties

θ = arccos (\frac{13 129}{258}) + 2 πn, θ = 2 π - arccos (\frac{13 129}{258}) + 2 πn

Show solutions in decimal form

θ = 0.96149 \dots + 2 πn, θ = 2 π - 0.96149 \dots + 2 πn

\frac{1 + tan ( x )}{1 + cot ( x )} = 2

tan (x) + 1 = \frac{1}{3} + \frac{1}{3} cot (x)

sin (8 x) = 1

2 cos^{2} (w) - 3 cos (w) - 5 = 0

4 sin (x) = csc (x)

What is the general solution for cos(θ)=(13)/(sqrt(6)*\sqrt{86)} ?
The general solution for cos(θ)=(13)/(sqrt(6)*\sqrt{86)} is θ=0.96149…+2pin,θ=2pi-0.96149…+2pin