The Student Room Group
Reply 1
y= 2sinθcosθ
y= 1 - (sinθ - cosθ
= 1 - (x-1)²
= -x² + 2x
Reply 2
C4>O7
y= 2sinθcosθ
y= 1 - (sinθ - cosθ
= 1 - (x-1)²
= -x² + 2x


how did you get to the second step?
Reply 3
x = sinθ - cosθ + 1
y = sin2θ = 2sinθcosθ

x-1 = sinθ - cosθ
(x-1)² = (sinθ - cosθ
- 2x + 1 = -2sinθcosθ + sin²θ + cos²θ
- 2x + 1 = -2sinθcosθ + 1
- 2x = -2sinθcosθ
-x² +2x = 2sinθcosθ

y = -x² + 2x

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