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

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

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2sqrt(2)cos(x)+3=5

22 cos (x) + 3 = 5

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

Solution steps

22 cos (x) + 3 = 5

Move

3

to the right side

22 cos (x) = 2

Divide both sides by

22

cos (x) = \frac{2}{2}

General solutions for

cos (x) = \frac{2}{2}

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

4 tan^{2} (x) + 14 tan (x) + 12 = 0

13 (1 - cos (θ)) = sin^{2} (θ)

8 arcsin (x) = 2 π

2 sin (\frac{1}{2} x) + 1 = 0

sin (x) = - \frac{5}{2}

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