2016 · Q71
If sinθ + cosθ = 7/2, then what is sinθ − cosθ equal to?
Elementary MathematicsTrigonometry
- A0
- Brac12
- C1
- D2
Explanation
Note: the stem prints '7/2', but sinθ+cosθ ≤ √2, so a square-root was lost in transcription — read √7/2. Then (sinθ−cosθ)² = 2−(sinθ+cosθ)² = 2−7/4 = 1/4, giving sinθ−cosθ = 1/2. That is option B (its text 'rac12' is a garbled rendering of 1/2).