What is the general solution for cos(θ)=0.417 ?

The general solution for cos(θ)=0.417 is θ=1.14065…+2pin,θ=2pi-1.14065…+2pin

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cos(θ)=0.417

cos (θ) = 0.417

θ = 1.14065 \dots + 2 πn, θ = 2 π - 1.14065 \dots + 2 πn

Degrees

θ = 65.35467 \dots^{\circ} + 36 0^{\circ} n, θ = 294.64532 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.417

Apply trig inverse properties

cos (θ) = 0.417

General solutions for

cos (θ) = 0.417

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

θ = arccos (0.417) + 2 πn, θ = 2 π - arccos (0.417) + 2 πn

θ = arccos (0.417) + 2 πn, θ = 2 π - arccos (0.417) + 2 πn

Show solutions in decimal form

θ = 1.14065 \dots + 2 πn, θ = 2 π - 1.14065 \dots + 2 πn

tan (x) = 2.7475

cot (a) = 1

2 + 3 cot^{2} (θ) - 3 csc (θ) = 5

sinh (x) = 6

2 sin (6 x) + 2 sin (2 x) = 0

What is the general solution for cos(θ)=0.417 ?
The general solution for cos(θ)=0.417 is θ=1.14065…+2pin,θ=2pi-1.14065…+2pin