What is the general solution for 6cos(θ)-5=0 ?

The general solution for 6cos(θ)-5=0 is θ=0.58568…+2pin,θ=2pi-0.58568…+2pin

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6cos(θ)-5=0

6 cos (θ) - 5 = 0

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

Solution steps

6 cos (θ) - 5 = 0

Move

5

to the right side

6 cos (θ) = 5

Divide both sides by

6

cos (θ) = \frac{5}{6}

Apply trig inverse properties

θ = arccos (\frac{5}{6}) + 2 πn, θ = 2 π - arccos (\frac{5}{6}) + 2 πn

Show solutions in decimal form

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

sin (t) = - \frac{1}{2}

5 sin^{2} (x) = - 11 sin (x) - 6

6 sin (x) - 2 cos (x) = 7

csc^{2} (x) + 4 csc (x) - 5 = 0

90 + 45 cos (\frac{t ^{2}}{18}) - 100 = 0

What is the general solution for 6cos(θ)-5=0 ?
The general solution for 6cos(θ)-5=0 is θ=0.58568…+2pin,θ=2pi-0.58568…+2pin