Q13 of 27 Page 1

If x = 2sin2Ɵ and y = 2cos2Ɵ + 1, then find x + y.

x + y


= 2sin2Ɵ + 2cos2Ɵ + 1


= 2(sin2Ɵ + cos2Ɵ) + 1


= 3 … (because sin2Ɵ + cos2Ɵ = 1)


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