Cross-multiply:
Get 0 on the right side:
Use the identity
So tan(x)+cot(x) must equal to any odd integer multiple of
The general odd integer is 2n+1 for any integer n
Take reciprocals of both sides:
Multiply numerator and denominator on the right side by 2
Multiply both sides by 2 and reverse the factors on the left side
to make the left side look like the right side of the
identity , where n is any integer.
Edwin
