What is the general solution for 2sin(x)+sqrt(2)=0 ?

The general solution for 2sin(x)+sqrt(2)=0 is x=(5pi)/4+2pin,x=(7pi)/4+2pin

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2sin(x)+sqrt(2)=0

2 sin (x) + 2 = 0

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

2 sin (x) + 2 = 0

Move

2

to the right side

2 sin (x) = - 2

Divide both sides by

2

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

General solutions for

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

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

sin (2 x) = 2 sin (x)

sin (x) - 1 = 0

cos (x) = \frac{1}{3}

tan (x) + 1 = 0

sin (x) = - cos (x)

What is the general solution for 2sin(x)+sqrt(2)=0 ?
The general solution for 2sin(x)+sqrt(2)=0 is x=(5pi)/4+2pin,x=(7pi)/4+2pin