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  Hit : 7185     Date : 2011/04/10 03:10



    
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2011/04/10  
bean$ [´äº¯] ³×, Ʋ·È½À´Ï´Ù. Á¤È®ÇÑ Ç®ÀÌ´Â cos(A+B) = cosAcosB - sinAsinB ...............................(2)
sin(A+B) = sinAcosB + cosAsinB ...............................(3)


40cos(100t-40µµ)-20sin(100t+170µµ)
= 40{cos(100t)cos(-40µµ) - sin(100t)sin(-40µµ)} - 20{sin(100t)cos(170µµ) + cos(100t)sin(170µµ)
= {40cos(40µµ) - 20sin(170µµ)} cos(100t) + {-40sin(-40µµ) - 20cos(170µµ)} sin(100t)
= 27.1688 cos(100t) + 45.407 sin(100t) ...........................(4)

¿©±â¼­, ¹Øº¯ 27.1668, ³ôÀÌ 45.407ÀÎ Á÷°¢ »ï°¢ÇüÀÇ ºøº¯Àº,
·çÆ®(27.1668^2 + 45.407^2) = ·çÆ®(2799.999) = 52.915 À̹ǷΠºøº¯°ú ¹Øº¯ÀÇ »çÀÌ°¢ x¿¡ ´ëÇØ,

cos(x) = 27.1668 / 52.915 , -sin(x) = 45.407/52.915 ...........................(5)
Áï, x=-59.109 À̸é (5)½ÄÀÌ ¸¸Á·ÇÕ´Ï´Ù. (4)½ÄÀ» ´Ù½Ã ¾²¸é,

27.1688 cos(100t) + 45.407 sin(100t) = 52.915{cos(-59.109µµ) cos(100t) - sin(-59.109µµ) sin(100t)
= 52.915 cos(100t-59.109µµ)

µû¶ó¼­, A,B,C,x ´Â 27.2, 45.4, 52.9 , -59.1µµ°¡ µË´Ï´Ù.
2011/04/10  
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