
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that the vertex of angle $θ$ is at the origin of coordinates, its initial side coincides with the positive half-axis of $x$, and its terminal side lies on the line $3x-y=0$, then $\dfrac {\sin θ+\cos (π-θ)}{\sin ( \dfrac {π}{2}-θ)-\sin (π+θ)}=$ \_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
user