How do I make an equation for a cosine function with an amplitude of 0.5 and a period of 0.2pie?

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Answer 1 · 2018-03-01T07:13:58

#y = (1/2) cos (pi/5)#

Standard form of equation

#y = a cos (bx + c) + d#

Amplitude# = |a| = 0.5#

Period # = (2pi) / |b| = 0.2pi#

Phase shift #= c / b = 0#

Vertical shift #= d = 0#

Hence the equation is

#y = 0.5 cos (0.2pi + 0) + 0 = (1/2) (cos (pi/5)) = (1/2) cos (pi/5)#