化简cos(π/4 减a)cos(π/4 加a) 急呀!

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化简cos(π/4减a)cos(π/4加a)急呀!化简cos(π/4减a)cos(π/4加a)急呀!化简cos(π/4减a)cos(π/4加a)急呀!原式=(cosπ/4*cosa+sinπ/4*si

化简cos(π/4 减a)cos(π/4 加a) 急呀!
化简cos(π/4 减a)cos(π/4 加a) 急呀!

化简cos(π/4 减a)cos(π/4 加a) 急呀!
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)