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

Can someone tell me if I did this right. The answer that I got was
$806.25/25%=32.25
$806.25-32.25=$774.00

The retail selling price of a sofa is $806.25. What is the cost to the dealer if she sells at 25% markup on the cost?
If the two samples are not independent, their population means can still be compared using the ____________ statistic.

a. paired t
b. Z
c. F
d. chi-square