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Question: for the parametric equations given in x 2 ...

Question details

For the parametric equations given in x = 2 + 2 sin(2λ), y = 1 − cos(2λ) where − π /2 ≤ λ ≤ π/ 2 , determine if there are any horizontal or vertical tangents and find their location (make sure to verify these by calculating the derivative dy/dx). Additionally, calculate the equation to the tangent at λ = π/6.

Please explain where

4cos(2λ) = 0

becomes 2λ= π/2 + nπ

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