Question: Write an equation for the rose curve r = 2 sin 2 after it has been rotated by the given amount. Verify the results by

Write an equation for the rose curve r = 2 sin 2θ after it has been rotated by the given amount. Verify the results by using a graphing utility to graph the rotated rose curve for 

(a) θ = π/6, 

(b) θ = π/2, 

(c) θ = 2π/3

(d) θ = π.

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