What is the general solution for sqrt(2)sin(x+pi/4)=0 ?

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

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sqrt(2)sin(x+pi/4)=0

2 sin (x + \frac{π}{4}) = 0

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

Solution steps

2 sin (x + \frac{π}{4}) = 0

Divide both sides by

2

sin (x + \frac{π}{4}) = 0

General solutions for

sin (x + \frac{π}{4}) = 0

x + \frac{π}{4} = 0 + 2 πn, x + \frac{π}{4} = π + 2 πn

Solve

x + \frac{π}{4} = 0 + 2 πn : x = 2 πn - \frac{π}{4}

Solve

x + \frac{π}{4} = π + 2 πn : x = π + 2 πn - \frac{π}{4}

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

sin (x) = \frac{2 ( 5.5 \cdot 1 0 ^{- 7} )}{3.36 \cdot 1 0 ^{- 5}}

sin (x - 3 0^{\circ}) = cos (1 5^{\circ})

tan (x) = 2.8867

3 = cot (q)

sin (t) + cos (2 t) = 0

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