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

The general solution for cos(3x+pi/4)=(sqrt(3))/2 is x=(2pin)/3-pi/(36),x=(2pin)/3+(19pi)/(36)

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

cos (3 x + \frac{π}{4}) = \frac{3}{2}

x = \frac{2 πn}{3} - \frac{π}{36}, x = \frac{2 πn}{3} + \frac{19 π}{36}

Solution steps

cos (3 x + \frac{π}{4}) = \frac{3}{2}

General solutions for

cos (3 x + \frac{π}{4}) = \frac{3}{2}

3 x + \frac{π}{4} = \frac{π}{6} + 2 πn, 3 x + \frac{π}{4} = \frac{11 π}{6} + 2 πn

Solve

3 x + \frac{π}{4} = \frac{π}{6} + 2 πn : x = \frac{2 πn}{3} - \frac{π}{36}

Solve

3 x + \frac{π}{4} = \frac{11 π}{6} + 2 πn : x = \frac{2 πn}{3} + \frac{19 π}{36}

x = \frac{2 πn}{3} - \frac{π}{36}, x = \frac{2 πn}{3} + \frac{19 π}{36}

- sin (4 x) = sin (8 x)

tan (θ) = \frac{3 3}{3}

cos (2 x) = 1 - sin^{2} (2 x), 0 \leq x \leq 2 π

2 = sec (x) tan (x)

cos (x) = \frac{9}{13}

What is the general solution for cos(3x+pi/4)=(sqrt(3))/2 ?
The general solution for cos(3x+pi/4)=(sqrt(3))/2 is x=(2pin)/3-pi/(36),x=(2pin)/3+(19pi)/(36)