What is the general solution for sin(62.8x+pi/4)=sin(pi/4) ?

The general solution for sin(62.8x+pi/4)=sin(pi/4) is x=(5pin)/(157),x=(5pin)/(157)+(5pi)/(628)

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sin(62.8x+pi/4)=sin(pi/4)

sin (62.8 x + \frac{π}{4}) = sin (\frac{π}{4})

x = \frac{5 πn}{157}, x = \frac{5 πn}{157} + \frac{5 π}{628}

Solution steps

sin (62.8 x + \frac{π}{4}) = sin (\frac{π}{4})

sin (\frac{π}{4}) = \frac{2}{2}

sin (62.8 x + \frac{π}{4}) = \frac{2}{2}

General solutions for

sin (62.8 x + \frac{π}{4}) = \frac{2}{2}

62.8 x + \frac{π}{4} = \frac{π}{4} + 2 πn, 62.8 x + \frac{π}{4} = \frac{3 π}{4} + 2 πn

Solve

62.8 x + \frac{π}{4} = \frac{π}{4} + 2 πn : x = \frac{5 πn}{157}

Solve

62.8 x + \frac{π}{4} = \frac{3 π}{4} + 2 πn : x = \frac{5 πn}{157} + \frac{5 π}{628}

x = \frac{5 πn}{157}, x = \frac{5 πn}{157} + \frac{5 π}{628}

4 cos^{(2)} (x) - 4 cos (x) + 1 = 0

3 cos (2 x) = 3 sin (x)

4 cos (\frac{θ}{2}) + 3 = - 2 cos (θ)

8 cos (2 x) - 1 = 2

2 cos (2 x) + 3 = 23

What is the general solution for sin(62.8x+pi/4)=sin(pi/4) ?
The general solution for sin(62.8x+pi/4)=sin(pi/4) is x=(5pin)/(157),x=(5pin)/(157)+(5pi)/(628)