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Am nevoie de ajutor la ex 6...

Am Nevoie De Ajutor La Ex 6 class=

Răspuns :

cos (1/2 * arcsin √3/2) =
cos (1/2 * π/3) = 
cos (π/6) = √3/2
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arcsin √3/2 = 60° = π/3
π/6 = 30°

[tex]\it arcsin\dfrac{\sqrt3}{2} = \dfrac{\pi}{3} \\ \\ \\ cos\left(\dfrac{1}{2} arcsin\dfrac{\sqrt3}{2}\right) = cos{\dfrac{1}{2}\cdot\dfrac{\pi}{3} = cos\dfrac{\pi}{6} = \dfrac{\sqrt3}{2} [/tex]