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sin 15 =sin(45°-30°)
= sin 45°.cos 30°-sin 30°.cos 45°
= ½√2.½√3-½.½√2
=¼√2(√3-1)
sin 135 = sin(90°+45°)
= sin 90°.cos 45°+ sin 45°.cos 90°
= 1.½√2+½√2.0
= ½√2+0
=½√2
sin 15+sin 135 =¼√2(√3-1)+½√2