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

The general solution for (sin(x))/(cos(x))=0 is x=pin

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(sin(x))/(cos(x))=0

\frac{sin ( x )}{cos ( x )} = 0

x = πn

Solution steps

\frac{sin ( x )}{cos ( x )} = 0

Rewrite using trig identities

tan (x) = 0

General solutions for

tan (x) = 0

x = 0 + πn

Solve

x = 0 + πn : x = πn

x = πn

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

8 cos (x) - 42 = 0

3 csc (x) - 23 = 0

x, arccos (x) = \frac{1}{2}

cos (2 x) = \frac{1}{5}

What is the general solution for (sin(x))/(cos(x))=0 ?
The general solution for (sin(x))/(cos(x))=0 is x=pin