Question

If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0

Answer 1

Refer to the diagram shown below.

Because tan θ = 12/5 and cos θ = -5/13, therefore θ is in quadrant 3.
The sine function is negative in quadrant 3, therefore
sin θ = - 12/13

Answer: - 12/13