Correct Answer - Option 3 : 1
Concept:
sin x cos y + cos x sin y = sin (x + y)
sin x cos y - cos x sin y = sin (x - y)
Calculation:
Here, we have to find the value of sin 75° cos 15° + cos 75° sin 15°
As we know that, sin x cos y + cos x sin y = sin (x + y)
∴ sin 75° cos 15° + cos 75° sin 15° = sin (75° + 15°)
= sin 90°
= 1