What is the general solution for 0=cos(4x) ?

The general solution for 0=cos(4x) is x= pi/8+(pin)/2 ,x=(3pi)/8+(pin)/2

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0=cos(4x)

0 = cos (4 x)

x = \frac{π}{8} + \frac{πn}{2}, x = \frac{3 π}{8} + \frac{πn}{2}

Solution steps

0 = cos (4 x)

Switch sides

cos (4 x) = 0

General solutions for

cos (4 x) = 0

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

Solve

4 x = \frac{π}{2} + 2 πn : x = \frac{π}{8} + \frac{πn}{2}

Solve

4 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{8} + \frac{πn}{2}

x = \frac{π}{8} + \frac{πn}{2}, x = \frac{3 π}{8} + \frac{πn}{2}

sin (t) + cos (t) = 1

cos (x) tan (x) + sin (x) = 2 cos (x)

cos (x) + sin (x) = \frac{6}{2}

6 tan^{2} (x) - 2 = 0

tan (x) = \infty

What is the general solution for 0=cos(4x) ?
The general solution for 0=cos(4x) is x= pi/8+(pin)/2 ,x=(3pi)/8+(pin)/2