urgent!1 trigonometric short q

2011-03-18 5:45 am
let y=cos(x+180/12)cos(x-180/4)
express y in the form a cos(2x+b)+c, where a, b and c are constants

回答 (1)

2011-03-18 5:51 am
✔ 最佳答案
cos(x + π/12)cos(x - π/4)

= (1/2)[cos(2x + π/12 - π/4) + cos(π/12 + π/4)]

= (1/2)[cos(2x - 2π/12) + cos(4π/12)]

= (1/2)cos(2x - π/6) + 1/4

a = 1/2, b = -π/6, c = 1/4


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