Problem

$\cos (x+y)$

Answer

Expert–verified
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Answer

\( \boxed{\cos (x+y) = \cos x \cos y - \sin x \sin y} \)

Steps

Step 1 :Given the expression: \( \cos (x+y) \)

Step 2 :Using the trigonometric identity: \( \cos (x+y) = \cos x \cos y - \sin x \sin y \)

Step 3 :\( \boxed{\cos (x+y) = \cos x \cos y - \sin x \sin y} \)

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