sin 75结果证明过程就是求值

问题描述:

sin 75结果证明过程
就是求值

sin75=sin(90-15)=sin90cos15-sin15cos90=cos15=cos(45-30)=cos45cos30+sin45sin30=(√6+√2)/4

sin75=sin(45+30)=sin45cos30+sin30cos45=√2/2(sin30+cos30)
(√6+√2)/4

sin 75
=sin(45+30)
=sin45cos30+cos45sin30
=√2/2 * √3/2 + √2/2 * 1/2
=(√6+√2)/4