What is the general solution for cos(θ)=0.8 ?

The general solution for cos(θ)=0.8 is θ=0.64350…+2pin,θ=2pi-0.64350…+2pin

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cos(θ)=0.8

cos (θ) = 0.8

θ = 0.64350 \dots + 2 πn, θ = 2 π - 0.64350 \dots + 2 πn

Degrees

θ = 36.86989 \dots^{\circ} + 36 0^{\circ} n, θ = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.8

Apply trig inverse properties

cos (θ) = 0.8

General solutions for

cos (θ) = 0.8

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

θ = arccos (0.8) + 2 πn, θ = 2 π - arccos (0.8) + 2 πn

θ = arccos (0.8) + 2 πn, θ = 2 π - arccos (0.8) + 2 πn

Show solutions in decimal form

θ = 0.64350 \dots + 2 πn, θ = 2 π - 0.64350 \dots + 2 πn

cos (θ) = 0.6

sin (x) = - 3

4 sin (4 x) = - 8 sin (2 x)

3 sin^{2} (θ) - cos^{2} (θ) = 0

2 cot (θ) - 3 = 0

What is the general solution for cos(θ)=0.8 ?
The general solution for cos(θ)=0.8 is θ=0.64350…+2pin,θ=2pi-0.64350…+2pin