What is the general solution for cos(θ)=0.5678 ?

The general solution for cos(θ)=0.5678 is θ=0.96696…+2pin,θ=2pi-0.96696…+2pin

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cos(θ)=0.5678

cos (θ) = 0.5678

θ = 0.96696 \dots + 2 πn, θ = 2 π - 0.96696 \dots + 2 πn

Solution steps

cos (θ) = 0.5678

Apply trig inverse properties

θ = arccos (0.5678) + 2 πn, θ = 2 π - arccos (0.5678) + 2 πn

Show solutions in decimal form

θ = 0.96696 \dots + 2 πn, θ = 2 π - 0.96696 \dots + 2 πn

1 = cos (2 x)

tan (x) = 2 cos (x) tan (x)

tan (θ) = 2.6

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

sin (θ) = \frac{8}{17}

What is the general solution for cos(θ)=0.5678 ?
The general solution for cos(θ)=0.5678 is θ=0.96696…+2pin,θ=2pi-0.96696…+2pin