Question 229786
write an equation of the cosine function with amplitude 2, period pi,and phase shift pi/4.

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The general equations for sine and cosine are these:

{{{y = Asin((2pi/P)(x-S))}}}

{{{y = Acos((2pi/P)(x-S))}}}

where, 

A = the amplitude
P = the period
S = the phase shift

Yours is a cosine problem, so substituting in the second one:

{{{y = (2)cos((2pi/(pi))(x-pi/4))}}}

{{{y = 2cos((2cross(pi)/(cross(pi)))(x-pi/4))}}}

{{{y = 2cos(2(x-pi/4))}}}

{{{y = 2cos(2x-pi/2)}}}

Edwin</pre>