What is the general solution for cos(θ)=0.75 ?

The general solution for cos(θ)=0.75 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin

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cos(θ)=0.75

cos (θ) = 0.75

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

Degrees

θ = 41.40962 \dots^{\circ} + 36 0^{\circ} n, θ = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.75

Apply trig inverse properties

cos (θ) = 0.75

General solutions for

cos (θ) = 0.75

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

θ = arccos (0.75) + 2 πn, θ = 2 π - arccos (0.75) + 2 πn

θ = arccos (0.75) + 2 πn, θ = 2 π - arccos (0.75) + 2 πn

Show solutions in decimal form

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

What is the general solution for cos(θ)=0.75 ?
The general solution for cos(θ)=0.75 is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin