What is the general solution for 3sqrt(2)cos(θ)+2=5 ?

The general solution for 3sqrt(2)cos(θ)+2=5 is θ= pi/4+2pin,θ=(7pi)/4+2pin

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3sqrt(2)cos(θ)+2=5

32 cos (θ) + 2 = 5

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

Solution steps

32 cos (θ) + 2 = 5

Move

2

to the right side

32 cos (θ) = 3

Divide both sides by

32

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

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

sec (θ) = \frac{5}{2}

4 cos (2 x) = 2 - 8 cos (x)

tan (x) = \frac{7}{8}

4 cos^{2} (x) + 1 = 0

What is the general solution for 3sqrt(2)cos(θ)+2=5 ?
The general solution for 3sqrt(2)cos(θ)+2=5 is θ= pi/4+2pin,θ=(7pi)/4+2pin