2013 · Q41
Consider the following statements for 0 ≤ θ ≤ 90°:
- 1The value of sinθ + cosθ is always greater than 1. 2. The value of tanθ + cotθ is always greater than 1.
Which of the above statements is/are correct?
Elementary MathematicsTrigonometry
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
sin+cos=1 at endpoints, so 1 false; tan+cot≥2>1 always, so 2 true. Answer B.