Answer: 5.
- A 5
- B 7
- C 1
- D 25
Correct answer: A. 5
Explanation: The maximum of a sinθ + b cosθ is √(a² + b²) = √(9 + 16) = 5.
Unit circle with standard angles 0, 30, 45, 60, 90 degrees; at 45 degrees the point is (cos45, sin45) = (1/sqrt2, 1/sqrt2).
Concept context
Ratios, identities, and applications in triangles