
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 $\cos\theta= \frac {3}{5}$ and $\theta\in(0, \frac {\pi}{2})$, find:

1. $\sin^2\theta$
2. $\cos(\theta+ \frac {\pi}{3})$
3. $\tan(\theta+ \frac {\pi}{4})$

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