2016 · Q75
What is the value of sin²68° + sin²56° − sin²34° − sin²22°?
Elementary MathematicsTrigonometry
- A0
- B1/2
- C1
- D2
Explanation
As printed (with minus signs), the expression equals cos44°+cos68° ≈ 1.09, which matches no option. With all plus signs — the classic form — sin²68°+sin²56°+sin²34°+sin²22° = (cos²22°+sin²22°)+(cos²34°+sin²34°) = 2, which is option D; the minus signs are likely a transcription error. Note: key disputed — verify against the official UPSC key.