упростите выражение cos^2t + ctg^2t cos^2t

MrRedFoll @MrRedFoll

September 2021 1 18 Report

упростите выражение
cos^2t + ctg^2t cos^2t - ctg^2t

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KuOV

Verified answer

Cos²t + ctg²t · cos²t - cos²t / sin²t =
= cos²t (1 + ctg²t - 1/sin²t) = cos²t (1/sin²t - 1/sin²t) = 0

Использовалось тождество:
1 + ctg²t = 1 / sin²t

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