This identity means that translating a basic sine graph 3π/2 units to the right produces a basic cosine graph.

Question

True or False?
sin(X-(3(pi)/2)) = cosX

Answer 1

let's test it by applying the sin(A - B) = sinAcosB - cosAsinB relation

sin(x - 3π/2)
= sinx cos3π/2 - cosx sin3π/2
= (sinx) (0) - (cosx)(-1)
= cosx

yup, it is true.