sin 600° cos 750° + sin 150° cos 240° = ?
2023
sin 600° cos 750° + sin 150° cos 240° = ?
- A.
2/3
- B.
1
- C.
1/2
- D.
-1
Show answer & explanation
Correct answer: D
Reduce the angles: sin 600 degrees = sin 240 degrees = -sqrt(3)/2 and cos 750 degrees = cos 30 degrees = sqrt(3)/2. Also sin 150 degrees = 1/2 and cos 240 degrees = -1/2. The value is -3/4 - 1/4 = -1.