What is the general solution for cos(θ)=-0.2 ?

The general solution for cos(θ)=-0.2 is θ=1.77215…+2pin,θ=-1.77215…+2pin

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cos(θ)=-0.2

cos (θ) = - 0.2

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) = - 0.2

Apply trig inverse properties

cos (θ) = - 0.2

General solutions for

cos (θ) = - 0.2

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

θ = arccos (- 0.2) + 2 πn, θ = - arccos (- 0.2) + 2 πn

θ = arccos (- 0.2) + 2 πn, θ = - arccos (- 0.2) + 2 πn

Show solutions in decimal form

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

sin^{2} (x) - 5 cos (x) = 3

cos (x) = - \frac{9}{41}

5 sin (y) = 3 sin (y) + 3

2 sin^{2} (θ) + sin^{2} (θ) = 0

cos (θ) = - 0.42, 0^{\circ} \leq θ < 36 0^{\circ}

What is the general solution for cos(θ)=-0.2 ?
The general solution for cos(θ)=-0.2 is θ=1.77215…+2pin,θ=-1.77215…+2pin