
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
Observe the following set of equations:
\\(①\sin ^{2}30^{\circ}+\cos ^{2}60^{\circ}+\sin 30^{\circ}\cos 60^{\circ}= \frac {3}{4}\\)，
\\(②\sin ^{2}15^{\circ}+\cos ^{2}45^{\circ}+\sin 15^{\circ}\cos 45^{\circ}= \frac {3}{4}\\)，
\\(③\sin ^{2}45^{\circ}+\cos ^{2}75^{\circ}+\sin 45^{\circ}\cos 75^{\circ}= \frac {3}{4}\\)，\\(…\\)，
What is the general result that can be derived by analogy with the above results?

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