
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
Find the range of
\[f(B)=\frac{\sin B(2\cos^{2}B+\cos^{4}B+2\sin^{2}B+\sin^{2}B\cos^{2}B)}{\tan B (\sec B-\sin B\tan B)}\]if \(B\neq \dfrac{n\pi}{2}\) for any integer \(n.\)  Enter your answer using interval notation.

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