What is the general solution for 6cos(θ)=3sqrt(2) ?

The general solution for 6cos(θ)=3sqrt(2) is θ= pi/4+2pin,θ=(7pi)/4+2pin

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6cos(θ)=3sqrt(2)

6 cos (θ) = 32

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

Solution steps

6 cos (θ) = 32

Divide both sides by

6

cos (θ) = \frac{2}{2}

General solutions for

cos (θ) = \frac{2}{2}

θ = \frac{π}{4} + 2 πn, θ = \frac{7 π}{4} + 2 πn

2 cos^{2} (x) + sin (- x) - 3 = 0

376 = 80 \cdot 24.7 \cdot cos (x)

0 = arctan (t)

tan^{2} (x) = 1 + tan (x)

t, y = 3 sin (2 t - \frac{π}{4})

What is the general solution for 6cos(θ)=3sqrt(2) ?
The general solution for 6cos(θ)=3sqrt(2) is θ= pi/4+2pin,θ=(7pi)/4+2pin