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DocTorGold @DocTorGold

July 2022 1 4 Report

вычислите cos(t-2П),ctg(-t),sin(4П-t),если tgt= -√5/2, П/2

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nKrynka

Verified answer

Сos(t - 2π) = cos(2π - t) = cost
cos^2t = 1/(tg^2t + 1)
cos^2t = 1/(5/4 + 1)
cos^2t = 4/9
cost = -(2/3)
cost = (2/3)

ctg(-1) = - ctgt, tgt = -√5/2, tgt*ctgt = 1,ctgt = 1/tgt, ctgt = 1/(-√5/2)
sin(4π - t) = sint
sint = √(1 - cos^2x) = √[1 - (2/3)^2] = √5/3

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