Saturday, April 21, 2012

අර්ධ කෝණ

මෙහෙදී අර්ධ කෝණ සර්වසාම්‍ය ගැන සලක බලමු 

sin 2A = 2sin A cos A
X= A/2 නම් 
sin A = 2sin (A/
2) cos (A/2)

එලෙසම ,
cos 2A = cos2(A)-sin2(A)
cos A = cos2(A/2)-sin2(A/2)


cos 2A = 1-2sin2(A)
cos A = 1-2sin2(A/2)


cos 2A = 2cos2(A)-1
cos A = 2cos2(A/2)-1




එලෙසම ,

tan 2A = 2tan A /[1-tan2(A)]
tan A = 2tan(A/2)/[1-tan2(A/2)]









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