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Let x be marked up price. We have been given that a chemistry set costing $27.50, marked up 32% on cost.
Therefore, mark up price is $8.80.
Since we know that selling price of any item equals the sum of cost and mark-up price of the item.
Let us find selling price of our chemistry set.
Therefore, the selling price of the chemistry set is $ 36.30.
LHS: = 
(using 
)
We know
so we can replace the sin²x in the LHS expression as follows
which is the RHS.
We know