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

The general solution for sin(4x)=(sqrt(2))/2 is x= pi/(16)+(pin)/2 ,x=(3pi}{16}+\frac{pin)/2

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sin(4x)=(sqrt(2))/2

sin (4 x) = \frac{2}{2}

x = \frac{π}{16} + \frac{πn}{2}, x = \frac{3 π}{16} + \frac{πn}{2}

Solution steps

sin (4 x) = \frac{2}{2}

General solutions for

sin (4 x) = \frac{2}{2}

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

Solve

4 x = \frac{π}{4} + 2 πn : x = \frac{π}{16} + \frac{πn}{2}

Solve

4 x = \frac{3 π}{4} + 2 πn : x = \frac{3 π}{16} + \frac{πn}{2}

x = \frac{π}{16} + \frac{πn}{2}, x = \frac{3 π}{16} + \frac{πn}{2}

3 cos (x) = 6

200.4 = 200 + sin (\frac{x}{240})

12 sin^{2} (x) + 8 sin (x) + 1 = 0

3 \cdot tan (x) + 1 = 0, x, 0 \leq x \leq 2 \cdot π

cot^{2} (x) - 3 cot (x) - 4 = 0

What is the general solution for sin(4x)=(sqrt(2))/2 ?
The general solution for sin(4x)=(sqrt(2))/2 is x= pi/(16)+(pin)/2 ,x=(3pi}{16}+\frac{pin)/2