What is the general solution for cos(θ)=-1/5 ?

The general solution for cos(θ)=-1/5 is θ=1.77215…+2pin,θ=-1.77215…+2pin

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cos(θ)=-1/5

cos (θ) = - \frac{1}{5}

θ = 1.77215 \dots + 2 πn, θ = - 1.77215 \dots + 2 πn

Degrees

θ = 101.53695 \dots^{\circ} + 36 0^{\circ} n, θ = - 101.53695 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{1}{5}

Apply trig inverse properties

cos (θ) = - \frac{1}{5}

General solutions for

cos (θ) = - \frac{1}{5}

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

θ = arccos (- \frac{1}{5}) + 2 πn, θ = - arccos (- \frac{1}{5}) + 2 πn

θ = arccos (- \frac{1}{5}) + 2 πn, θ = - arccos (- \frac{1}{5}) + 2 πn

Show solutions in decimal form

θ = 1.77215 \dots + 2 πn, θ = - 1.77215 \dots + 2 πn

sin (2 x) = \frac{- 1}{2}

csc (2 x) + 1 = 0

cos (5 x) - cos (x) = sin (3 x)

1 = cos (\frac{( π ( t - 22 ) )}{183})

cot (x) = - csc^{2} (x)

What is the general solution for cos(θ)=-1/5 ?
The general solution for cos(θ)=-1/5 is θ=1.77215…+2pin,θ=-1.77215…+2pin