# If show that F(x) . F(y) = F(x + y).

Given : To show : F(x) . F(y) = F(x + y).

Formula used : If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c

F(x) = F(y) = F(x + y) = F(x) . F(y) = . = F(x) . F(y) = We know that,

cosx(cosy) – sinx (siny) = cos(x+y) and -cosx(siny) - sinx(cosy) = -sin(x+y)

F(x) . F(y) = F(x + y) = F(x) . F(y) = F(x + y) = F(x) . F(y)

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