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Simplify the following expressions: A = (cos(x) + sin(x))2 + (cos(x) - sin(x))2

Mathematics

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سأقوم بحل التمرين 3.

التمرين 3

1. تبسيط التعبيرات التالية:

  • أ) A=(cos⁡(x)+sin⁡(x))2+(cos⁡(x)−sin⁡(x))2A = (\cos(x) + \sin(x))^2 + (\cos(x) - \sin(x))^2 نستخدم المتطابقات التربيعية (a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2 و (a−b)2=a2−2ab+b2(a-b)^2 = a^2 - 2ab + b^2.
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