Question:
cos 38° · cos 52° - sin 38° · sin 52° =
cos 38° · cos 52° - sin 38° · sin 52° =
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Use the cosine addition formula to simplify expressions involving trigonometric functions of sum angles.
Updated On: Oct 27, 2025
- 1
- 0
- 2
- \( \frac{1}{2} \)
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The Correct Option is B
Solution and Explanation
Step 1: Use the cosine addition formula:
\[
\cos(A + B) = \cos A \cdot \cos B - \sin A \cdot \sin B
\]
Step 2: Substituting \( A = 38^\circ \) and \( B = 52^\circ \), we get:
\[
\cos(38^\circ + 52^\circ) = \cos 90^\circ = 0
\]
Thus, the correct answer is \( \boxed{0} \).
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