ctg α - sin 2 α = ctg α cos 2 α
Доведіть тотожність.
ctga-sin2a=cosa/sina - 2*sina*cosa= (cosa-2sin²a*cosa)/sina=cosa(1-2sin²a)/sina=
=ctga*(1-2sin²a)=ctga*cos2a
ctga-sin2a=cosa/sina - 2*sina*cosa= (cosa-2sin²a*cosa)/sina=cosa(1-2sin²a)/sina==ctga*(1-2sin²a)=ctga*cos2a
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Verified answer
ctga-sin2a=cosa/sina - 2*sina*cosa= (cosa-2sin²a*cosa)/sina=cosa(1-2sin²a)/sina=
=ctga*(1-2sin²a)=ctga*cos2a
ctga-sin2a=cosa/sina - 2*sina*cosa= (cosa-2sin²a*cosa)/sina=cosa(1-2sin²a)/sina=
=ctga*(1-2sin²a)=ctga*cos2a