What is the value of \(\cos 38° \cos 52° - \sin 38° \sin 52°\)?
Answer: A
This expression is in the form of the cosine addition formula: \(\cos(A+B) = \cos A \cos B - \sin A \sin B\).
Here, A = 38° and B = 52°.
The expression is equal to \(\cos(38° + 52°) = \cos(90°)\).
The value of \(\cos 90°\) is 0.