1/2-sin²67°30′
=1/2(1-2sin²67°30′)
=1/2cos(2×67°30′)
=1/2cos135°
=1/2[cos135°=cos(180°-45°)]
=1/2(cos180°cos45°+sin180°sin45°)
=1/2(-1×√2/2+0×√2/2
=1/2(-√2/2)
=-√2/4
=(1-2sin²67.5度)/2
=cos(2*67.5)/2
=cos135/2
=-√2/4
1/2-sin²67°30′
=1/2(1-2sin²67°30′)
=1/2cos135°
=-√2/4