What is the general solution for cos(θ)=0.56 ?

The general solution for cos(θ)=0.56 is θ=0.97641…+2pin,θ=2pi-0.97641…+2pin

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cos(θ)=0.56

cos (θ) = 0.56

θ = 0.97641 \dots + 2 πn, θ = 2 π - 0.97641 \dots + 2 πn

Degrees

θ = 55.94420 \dots^{\circ} + 36 0^{\circ} n, θ = 304.05579 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.56

Apply trig inverse properties

cos (θ) = 0.56

General solutions for

cos (θ) = 0.56

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

θ = arccos (0.56) + 2 πn, θ = 2 π - arccos (0.56) + 2 πn

θ = arccos (0.56) + 2 πn, θ = 2 π - arccos (0.56) + 2 πn

Show solutions in decimal form

θ = 0.97641 \dots + 2 πn, θ = 2 π - 0.97641 \dots + 2 πn

cos (θ) = 0.17

sin (2 x) - 3 cos (x) = 0

5 cos (x) + 1 = 1

cosh (z) = 1

cos (2 x - \frac{π}{6}) = - \frac{1}{2}, \frac{π}{2} < x < π

What is the general solution for cos(θ)=0.56 ?
The general solution for cos(θ)=0.56 is θ=0.97641…+2pin,θ=2pi-0.97641…+2pin