What is the general solution for sqrt(2)=2sin(x) ?

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

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sqrt(2)=2sin(x)

2 = 2 sin (x)

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Solution steps

2 = 2 sin (x)

Switch sides

2 sin (x) = 2

Divide both sides by

2

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

General solutions for

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

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

6 sin (\frac{π}{4} x) = 3

sec (x) = 3, \frac{3 π}{2} \leq x \leq 2 π, sin (2 x)

2 + 8 cos (θ) = - 1 + 2 cos (θ)

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

2.5 = 10 sin (x)

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