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

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

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2sqrt(2)cos(θ)+3=5

22 cos (θ) + 3 = 5

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

Solution steps

22 cos (θ) + 3 = 5

Move

3

to the right side

22 cos (θ) = 2

Divide both sides by

22

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

sin (a) cos (a) = 1

sin (2 π x) = 0

sin (5 x) = 1

tan (θ) = 2.2

8 sin (θ) - 43 = 0

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