2022 · Q52
If A, B, C, D are the angles of a cyclic quadrilateral, then what is the value of the following?sin((A + C)/(2)) + sin((B + D)/(2))
Elementary MathematicsTrigonometry
- A2
- B1
- C0
- D-1
Explanation
For a cyclic quadrilateral A+C = B+D = 180°, so sin((A+C)/2)+sin((B+D)/2) = sin90°+sin90° = 2. Hence the keyed option is A.