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alinakhorlamov
@alinakhorlamov
August 2022
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Упростите выражение: [tex] \frac{sin5 \alpha -sin \alpha }{2cos3 \alpha } *ctg \alpha -1[/tex]
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kalbim
Verified answer
Sin(5a) - sina = 2*cos(3a)*sin(2a)
( 2*cos(3a)*sin(2a) / 2*cos(3a) )*(cosa/sina) - 1 = (cosa*2sina*cosa/sina) - 1 = 2cos^2(a) - 1 = cos(2a)
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Verified answer
Sin(5a) - sina = 2*cos(3a)*sin(2a)( 2*cos(3a)*sin(2a) / 2*cos(3a) )*(cosa/sina) - 1 = (cosa*2sina*cosa/sina) - 1 = 2cos^2(a) - 1 = cos(2a)