Problem

Evaluate the expression \(2 cos(x) + 3 sin(y)\) given that \(cos(x) = \frac{1}{2}\) and \(sin(y) = \frac{3}{5}\).

Answer

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Answer

Convert the fraction to a decimal to get \(1 + 1.8\)

Steps

Step 1 :Substitute \(cos(x) = \frac{1}{2}\) and \(sin(y) = \frac{3}{5}\) into the expression

Step 2 :\(2 cos(x) + 3 sin(y) = 2(\frac{1}{2}) + 3(\frac{3}{5})\)

Step 3 :Simplify the expression to get \(1 + \frac{9}{5}\)

Step 4 :Convert the fraction to a decimal to get \(1 + 1.8\)

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