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Sin 15 = Sin (45-30)
= Sin 45 Cos 30 - Cos 45 Sin 30
= 1/2 √2. 1/2 √3 - 1/2 √2. 1/2
= 1/4 √6 - 1/4 √2
= √6-√2 / 4
= sin45 cos30 – sin30 cos45
= 1/2√2. 1/2√3 - 1/2 . 1/2√2
= 1/4√2√3 - 1/4√2
= (√3 – 1)1/4√2