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let a, b and c be constants. For the first problem, a sine wave is any...

let a, b and c be constants. For the first problem, a sine wave is any function of the type f(x)=asin(bx+c) and a cosine wave is any function of the type g(x)=acos(bx+c).

a. find 3 distinct sine waves f1,f2,f3, all which satisfy f(0)=f(1)=0, amplitude 1/2

b. find 3 distinct cosine waves g1, g2, g3 all of which satisfy g(0)=g(1)=0 and have amplitude 2

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