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Senior one math online waiting! How to find the cycle? The answer t equals pie. How did you get it?
-π/ 12 to 5π/ 12 is half a period.

That is, T/2=5π/ 12-(-π/ 12).

T/2=6π/ 12

T/2=π/2

T=π

2π/ω=T=π

ω=2π/π=2

According to the picture, A=2.

y=2sin(2x+φ)

Exceed (-π/12,2)

2sin(2(-π/ 12)+φ)=2

sin(-π/6+φ)= 1

-π/6+φ=π/2+kπ

φ=2π/3+kπ

When k=0, φ=2π/3 and y=2sin(2x+2π/3).

When k=- 1, φ=-π/3 and y=2sin(2x-π/3).

Choose a and d