化简cos(π/4 减a)cos(π/4 加a) 急呀!
问题描述:
化简cos(π/4 减a)cos(π/4 加a) 急呀!
答
原式=(cos π/4 *cos a + sin π/4*sin a)(cos π/4 *cos a - sin π/4*sin a)
=(cos π/4 *cos a)^2-(sin π/4*sin a)^2
=1/2(cos a)^2-1/2(sin a)^2
=1/2 cos(2a)