exam Maths Puzzle Numerical Ability

My homework tells me to prove an identity, sin(x-3 times pie divided by 2)=cosx

I cant figure it out please help

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exam Other Question

Perform the indicated operations and simplify the following expression:
x+6/x^2-16 * 3x-12/3x+18
A) 0
B) 3 / 3(x+4)
C) 1/x+4
D) -1/x+4
The difference between two positive integers is 52. One integer is three times as great as the other. Find the integers.