
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
Observing the patterns in the given two equations,
$(①\sin ^{2}30^{\circ}+\sin ^{2}90^{\circ}+\sin ^{2}150^{\circ}= \frac {3}{2})$;
$(②\sin ^{2}5^{\circ}+\sin ^{2}65^{\circ}+\sin ^{2}125^{\circ}= \frac {3}{2})$
Please write a general proposition (including the above two propositions) based on the observed patterns: \_\_\_\_\_\_.

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