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A Fill-in-the-Blank Problem in Senior Three Mathematics
Point p is on the unit circle.

When t=π/ 12, the auxiliary angle is -π/6, which is the corresponding complex number.

p 1 = cosπ/6-isπ/6,

When t=π/4, the auxiliary angle is π/6, which corresponds to a complex number.

P2 = cosπ/6+isπ/6,

A(0,π)

The area of the graphics area swept by the vector AP.

It is Δ Δ AP1p 2 area+bow area.

√ΔAP1p 2 area =Δop1p 2 area.

∴ is Δ Δ op1p 2 area+bow area.

= area of sector OP 1P2

= 1×π/3=π/3

Not π/6