2009 · Q11
If 0 < θ< Φ< 90°, then which one of the following is correct?
Elementary MathematicsTrigonometry
- A(sin θ+ cos θ)2 > 2
- B(sin 2 θ+ cos 2 Φ) ≤ 2
- C(sin 2 θ+ cos 2 Φ) < 2
- D(sin 2 θ+ cos 2 Φ) > 2
Explanation
sin²θ + cos²φ ≤ 2 always holds.
If 0 < θ< Φ< 90°, then which one of the following is correct?
Explanation
sin²θ + cos²φ ≤ 2 always holds.