What is the general solution for cos(θ)= 6/7 ?

The general solution for cos(θ)= 6/7 is θ=0.54109…+2pin,θ=2pi-0.54109…+2pin

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cos(θ)= 6/7

cos (θ) = \frac{6}{7}

θ = 0.54109 \dots + 2 πn, θ = 2 π - 0.54109 \dots + 2 πn

Solution steps

cos (θ) = \frac{6}{7}

Apply trig inverse properties

θ = arccos (\frac{6}{7}) + 2 πn, θ = 2 π - arccos (\frac{6}{7}) + 2 πn

Show solutions in decimal form

θ = 0.54109 \dots + 2 πn, θ = 2 π - 0.54109 \dots + 2 πn

2 cos (2 θ) + 7 sin (θ) = 5

tan (x^{2}) = 1

cos (x) = \frac{5}{10}

cos^{2} (x) + 9 cos (x) + 18 = 0

sin (\frac{8 π}{23}) = sin (x)

What is the general solution for cos(θ)= 6/7 ?
The general solution for cos(θ)= 6/7 is θ=0.54109…+2pin,θ=2pi-0.54109…+2pin