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

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

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

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

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

Solution steps

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

Move

\frac{2}{2}

to the right side

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

2 csc (θ) = 4 cos (θ)

\frac{6}{5} arccos (\frac{y}{6}) = π

cos (x) = \frac{154}{212.85}

4 sin^{2} (x) - 2 = 0, 0 \leq x \leq 2 π

csc^{2} (θ) = 7 cot (θ) + 9

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