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is the slashed zero theta?

Yes.

it reduces to \[y = -2 \cos(2\theta)\]

Can you show me how it works?

You need to simply use that cos(2A) = 1- 2 sin^2(A)

so from this we take theta to be A

if you rewrite the equation you gave in that form it becomes..
-2 + 4sin^2(A)

do you understand?

Yes. Thank you for giving a detailed explanation.

yeah no problem, glad i could help