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

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

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5-6cos(θ)=0

5 - 6 cos (θ) = 0

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

Solution steps

5 - 6 cos (θ) = 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

cos (x + \frac{π}{6}) cos (x - \frac{π}{6}) = cos (2 x)

arctan (\frac{x}{12}) - arctan (x) = - π

θ, z \cdot p \cdot cos (θ) = 5

cos (4 x) + sin (2 x) = 0

sin (x + 5) = cos (2 x - 2)

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