Answer: 1.
- A 1/2
- B 3/4
- C 1
- D 2
Correct answer: C. 1
Explanation: sin⁴θ + cos⁴θ = 1 − (1/2)sin²2θ, which is largest when sin2θ = 0, giving 1.
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