
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
Simplify the following expressions:

(1) $\sin 76^{\circ}\cos 74^{\circ}+\sin 14^{\circ}\cos 16^{\circ}=$ \_\_\_\_\_\_

(2) $(1-\tan 59^{\circ})(1-\tan 76^{\circ})=$ \_\_\_\_\_\_

(3) $\dfrac {\sin 7^{\circ} +\cos 15^{\circ} \sin 8^{\circ} }{\cos 7^{\circ} -\sin 15^{\circ} \sin 8^{\circ} }=$ \_\_\_\_\_\_

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