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

The general solution for sin(3x+pi/4)=(sqrt(3))/2 is x=(2pin)/3+pi/(36),x=(2pin)/3+(5pi)/(36)

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sin(3x+pi/4)=(sqrt(3))/2

sin (3 x + \frac{π}{4}) = \frac{3}{2}

x = \frac{2 πn}{3} + \frac{π}{36}, x = \frac{2 πn}{3} + \frac{5 π}{36}

Solution steps

sin (3 x + \frac{π}{4}) = \frac{3}{2}

General solutions for

sin (3 x + \frac{π}{4}) = \frac{3}{2}

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

Solve

3 x + \frac{π}{4} = \frac{π}{3} + 2 πn : x = \frac{2 πn}{3} + \frac{π}{36}

Solve

3 x + \frac{π}{4} = \frac{2 π}{3} + 2 πn : x = \frac{2 πn}{3} + \frac{5 π}{36}

x = \frac{2 πn}{3} + \frac{π}{36}, x = \frac{2 πn}{3} + \frac{5 π}{36}

\frac{cos ( x ) - sin ( x )}{cos ( x )} = tan (x) - 1

cos (φ) = \frac{1}{4}

- 2 cos (x) = sin (x)

sin (x) = - 0.9781

tan (x) = 3.73

What is the general solution for sin(3x+pi/4)=(sqrt(3))/2 ?
The general solution for sin(3x+pi/4)=(sqrt(3))/2 is x=(2pin)/3+pi/(36),x=(2pin)/3+(5pi)/(36)