
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
The initial side of angle $α$ is the positive half of the $x$-axis, and its vertex is the center of the curve $x^{2}+y^{2}=25$. The terminal side of angle $α$ intersects the curve at point $A$, whose $x$-coordinate is $-3$. The terminal side of angle $2α$ intersects the curve at point $B$. What is the equation of the tangent line to the curve $x^{2}+y^{2}=25$ at point $B$? (Express the equation in standard form)

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