Find the exact value of sin 165° by using a sum or difference formula

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step-by-step explanation:

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option d.

step-by-step explanation:

if two triangles δabc and δa'b'c' are similar then we take point c of δabc to find the transformation performed form c to c'.

coordinates of c are (0, 3) and the coordinates of c' are (0, -1).

this shows that c is rotated 180° about origin to get the new coordinates as (0, -3) and then new coordinates were dilated by 1/3 which forms c' as (0, -1)

therefore option d is the correct option.