What is the general solution for cos(θ)= 4/7 ?

The general solution for cos(θ)= 4/7 is θ=0.96255…+2pin,θ=2pi-0.96255…+2pin

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cos(θ)= 4/7

cos (θ) = \frac{4}{7}

θ = 0.96255 \dots + 2 πn, θ = 2 π - 0.96255 \dots + 2 πn

Degrees

θ = 55.15009 \dots^{\circ} + 36 0^{\circ} n, θ = 304.84990 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{4}{7}

Apply trig inverse properties

cos (θ) = \frac{4}{7}

General solutions for

cos (θ) = \frac{4}{7}

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

θ = arccos (\frac{4}{7}) + 2 πn, θ = 2 π - arccos (\frac{4}{7}) + 2 πn

θ = arccos (\frac{4}{7}) + 2 πn, θ = 2 π - arccos (\frac{4}{7}) + 2 πn

Show solutions in decimal form

θ = 0.96255 \dots + 2 πn, θ = 2 π - 0.96255 \dots + 2 πn

cos (θ) - 1 = - 1

2 = sec (θ)

csc^{2} (x) - 2 csc (x) = 0

sin^{2} (x) = - 1

25 tan^{2} (θ) - 4 = 0

What is the general solution for cos(θ)= 4/7 ?
The general solution for cos(θ)= 4/7 is θ=0.96255…+2pin,θ=2pi-0.96255…+2pin