What is the general solution for cos(θ)=(-18)/(sqrt(20)*\sqrt{26)} ?

The general solution for cos(θ)=(-18)/(sqrt(20)*\sqrt{26)} is θ=2.48054…+2pin,θ=-2.48054…+2pin

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cos(θ)=(-18)/(sqrt(20)*\sqrt{26)}

cos (θ) = \frac{- 18}{20 \cdot 26}

θ = 2.48054 \dots + 2 πn, θ = - 2.48054 \dots + 2 πn

Solution steps

cos (θ) = \frac{- 18}{20 26}

Simplify

\frac{- 18}{20 26} : - \frac{9 130}{130}

Apply trig inverse properties

θ = arccos (- \frac{9 130}{130}) + 2 πn, θ = - arccos (- \frac{9 130}{130}) + 2 πn

Show solutions in decimal form

θ = 2.48054 \dots + 2 πn, θ = - 2.48054 \dots + 2 πn

sin (2 x) = - cos (x), 0 \leq x \leq 2 π

sin (θ) = \frac{5 π}{6}

sin (x) = \frac{4.2}{9.9}

sin (x) - 0.5 cos (x) = 0.1

cot (θ) = 0.8701

What is the general solution for cos(θ)=(-18)/(sqrt(20)*\sqrt{26)} ?
The general solution for cos(θ)=(-18)/(sqrt(20)*\sqrt{26)} is θ=2.48054…+2pin,θ=-2.48054…+2pin