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Se consideră expresia: E(x) = sin x + cos x/2 + sin x/3 Calculati valoarea lui E(pi/2)

Răspuns :

Explicație pas cu pas:

[tex]E(x) = \sin(x) + \cos\Big( \frac{x}{2} \Big) + \sin\Big( \frac{x}{3} \Big) \\ [/tex]

[tex]E\Big( \frac{\pi}{2} \Big) = \sin\Big( \frac{\pi}{2} \Big) + \cos\Big( \frac{\pi}{4} \Big) + \sin\Big( \frac{x}{6} \Big) = \\ = 1 + \frac{ \sqrt{2} }{2} + \frac{1}{2} = \bf \frac{3 + \sqrt{2} }{2} [/tex]