sin70°(sin25+cos25°)等于什么

sin70°(sin25+cos25°)
=sin(45+25)°*(sin25+cos25°)
=(sin45cos25+sin25cos45)*(sin25+cos25)
=根号2/2(sin25+cos25)*(sin25+cos25)
=根号2/2[sin^2(25)+cos^2(25)+2sin25cos25]
=根号2/2[1+sin50]

sin70°×(sin25+cos25°) = 0.72728077672417

解sin70°(sin25+cos25°)
=sin70°√2(√2/2sin25+√2/2cos25°)
=sin70°√2(cos45°sin25+sin45°cos25°)
=sin70°√2sin（45°+25°）
=√2sin70°sin70°
=√2sin²70°

sin70°(sin25°+cos25°)
= √2 * (√2/2 * sin25° + √2/2 * cos25°) * sin70°
= √2 * (sin25° * cos45° + cos25° * sin45°) * sin70°
= √2 * sin(25° + 45°) * sin70°
= √2 * sin70° * sin70°
= √2 * (sin70°)^2