What is the general solution for cos(θ)=0.56588 ?

The general solution for cos(θ)=0.56588 is θ=0.96929…+2pin,θ=2pi-0.96929…+2pin

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cos(θ)=0.56588

cos (θ) = 0.56588

θ = 0.96929 \dots + 2 πn, θ = 2 π - 0.96929 \dots + 2 πn

Degrees

θ = 55.53657 \dots^{\circ} + 36 0^{\circ} n, θ = 304.46342 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.56588

Apply trig inverse properties

cos (θ) = 0.56588

General solutions for

cos (θ) = 0.56588

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

θ = arccos (0.56588) + 2 πn, θ = 2 π - arccos (0.56588) + 2 πn

θ = arccos (0.56588) + 2 πn, θ = 2 π - arccos (0.56588) + 2 πn

Show solutions in decimal form

θ = 0.96929 \dots + 2 πn, θ = 2 π - 0.96929 \dots + 2 πn

2 sin^{4} (x) - 2 cos^{4} (x) = 1

18 sin (x) = 18 cos (x)

- 2 sin (3 x) = 1

1 - 8 sin^{2} (x) cos^{2} (x) = 0

1 - 2 sin (θ) = cos (θ)

What is the general solution for cos(θ)=0.56588 ?
The general solution for cos(θ)=0.56588 is θ=0.96929…+2pin,θ=2pi-0.96929…+2pin