The value of sin 15° is:

Correct option is A

Given: We need to find the exact value of sin 15°.
Concept Used: We use the formula for the sine of a difference of angles: sin(45° - 30°).
Solution:
1. Apply the sine subtraction formula: sin(45° - 30°) = sin 45° cos 30° - cos 45° sin 30°.
2. Use known values for sine and cosine:
· sin 45° = 1/√2
· cos 30° = √3/2
· cos 45° = 1/√2
· sin 30° = 1/2
3. Substitute these values into the formula: sin 15° = (1/√2) × (√3/2) - (1/√2) × (1/2).
4. Simplify the expression: sin 15° = (√3/2√2) - (1/2√2) = (√3 - 1) / (2√2).
Thus, the value of sin 15° is (√3 - 1) / (2√2).
Final Answer: (a) (√3 - 1) / (2√2)