SgtSauris SgtSauris

26-04-2019
Mathematics

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Please simplify, 50 points.

(sin Θ - cos Θ) - (sin Θ + cos Θ)^2

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Аноним Аноним

26-04-2019

Answer:

Using x for Θ:

(sinx - cosx)^2 - (sinx + cosx)^2

= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x)

= - 2 sinx cosx - 2 sinx cosx

= - 4 sinx cosx

= - 2sin(2x)

Step-by-step explanation:

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