Mathematics
Senior High
加法定理の証明の内容です!
問題と解き方と答えを載せました!赤ペンの部分を教えてほしいです🙇
sin 3a cos 3a
sina
=2
COS a
(3)左辺=
sin (2a + a) cos (2a+a)
sin a
COS a
sin 2a cosa +cos 2a sina
sin a
K
cos2a cosa -sin 2a sin a
Cosa
2sina cosa cosa + cos 2a sin a
sin a
•
cos2a cosa - 2sin a cosa sin a
Cosa
=(2cos² a + cos 2a)-(cos 2a -2sin2a)
=2cos² a +2sin2a2(sin² a + cos²a)
=2.1=2=右辺
よって
sin 3a
cos3a
=2
sin a
Cosa
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