
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
In the rectangular coordinate system $xOy$, the parametric equation of line $l$ is given by $\begin{cases} x=t\cos\alpha \\ y=1+t\sin\alpha \end{cases}$ (where $t$ is a parameter, $0≤\alpha<π$). Establish a polar coordinate system with the origin as the pole and the positive semiaxis of the $x$-axis as the polar axis. The polar equation of curve $C$ is given by $ρ\cos^2θ=4\sinθ$.
(1) Find the rectangular coordinate equation of line $l$ and curve $C$;
(2) Suppose line $l$ intersects curve $C$ at two distinct points $A$ and $B$, and $|AB|=8$. Find the value of $α$.

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