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Find value of sin 75° cos 15° + cos 75° sin 15° 
1. √3  - 1
2. √3  + 1
3. 1
4. 0

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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

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