Nilai eksek dari ( sin 105° sin 75° ) adalah

Sin105 . sin75 = sin(60+45) . sin(30+45)

= (sin60cos45 + sin45cos60) . (sin30cos45 + sin45cos30)
= (√3/2 . √2/2 + √2/2 . 1/2) . (1/2 . √2/2 + √2/2 . √3/2)
= (√6/4 + √2/4) . (√2/4 + √6/4)
= (√6/4 + √2/4)²
= 6/16 + 2/16 + 2√12 / 16
= 1/2 + √12 / 8
= 1/2 + 2√3 / 8
= 1/2 + √3 / 4
= 1/2 + 1/4 √3