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Problem 8 - Entrance Test

If sin θ + cos θ = 1.2, find sin 2θ.

Correct: C

Square both sides: (sin θ + cos θ)^2 = 1.44 ⇒ sin²θ + 2 sin θ cos θ + cos²θ = 1.44 ⇒ 1 + sin 2θ = 1.44 ⇒ sin 2θ = 0.44.