What is the general solution for cos(θ)=(-8)/(sqrt(14)*\sqrt{20)} ?

The general solution for cos(θ)=(-8)/(sqrt(14)*\sqrt{20)} is θ=2.06927…+2pin,θ=-2.06927…+2pin

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cos(θ)=(-8)/(sqrt(14)*\sqrt{20)}

cos (θ) = \frac{- 8}{14 \cdot 20}

θ = 2.06927 \dots + 2 πn, θ = - 2.06927 \dots + 2 πn

Solution steps

cos (θ) = \frac{- 8}{14 20}

Simplify

\frac{- 8}{14 20} : - \frac{2 70}{35}

Apply trig inverse properties

θ = arccos (- \frac{2 70}{35}) + 2 πn, θ = - arccos (- \frac{2 70}{35}) + 2 πn

Show solutions in decimal form

θ = 2.06927 \dots + 2 πn, θ = - 2.06927 \dots + 2 πn

sin^{2} (x) = \frac{1}{3}

cot (x) = \frac{2}{3}

4 sin^{2} (x) + 1 = 2

cos (2 x) = - 0.8

0 = - 4 sin (2 x)

What is the general solution for cos(θ)=(-8)/(sqrt(14)*\sqrt{20)} ?
The general solution for cos(θ)=(-8)/(sqrt(14)*\sqrt{20)} is θ=2.06927…+2pin,θ=-2.06927…+2pin