Kakšno je obdobje f (x) = 0.5sin (x) cos (x)?

Odgovor:

#Period = pi #

Pojasnilo:

#f (x) = y = 0.5 sin x cos x #

#y = (1/2) (2sin x cos x) / 2 #

#y = (1/4) sin 2x #

To je v obliki #y = sin (bx + c) + d # kje, #a = 1/4, b = 2, c = d = 0 #

Amplituda # = a = (1/4) #

Obdobje # = (2pi) / | b | = (2pi) / 2 = pi #

graf {0.5 (sin (x) cos (x)) -10, 10, -5, 5}