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

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

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

sin (x + \frac{π}{4}) = - \frac{2}{2}

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

Solution steps

sin (x + \frac{π}{4}) = - \frac{2}{2}

General solutions for

sin (x + \frac{π}{4}) = - \frac{2}{2}

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

Solve

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

Solve

x + \frac{π}{4} = \frac{7 π}{4} + 2 πn : x = 2 πn + \frac{3 π}{2}

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

1 = tan (θ)

2 cos (x) - 4 = 0

sec (x) = 1 - tan (x)

2 sin (x) sin (3 x) = 1, 0 \leq x \leq 2 π

cos (x) + 3 sin (x) = 0

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