
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
Suppose $b > 1$, $\sin x > 0$, $\cos x > 0$, and $\log_b \cot x = a$. Find $\log_b \csc x$.
A) $\frac{1}{2} \log_b (b^{2a} - 1)$
B) $\frac{1}{2} \log_b (b^{2a} + 1)$
C) $\log_b (b^{2a} + 1)$
D) $\frac{1}{2} \log_b (b^{a} + 1)$

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