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GrimOptimist
@GrimOptimist
August 2021
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Упростите выражение sin a*cos a(tga +ctg a)
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deadsi
Т.к. tga = sina\cosa, a ctga = cosa\sina, то можно записать выражение так:
sina × cosa × sina\cosa + sina × cosa × cosa\sina = sin²a + cos²a = 1
P.s. sin²a + cos²a = 1 - основное тригонометрическое тождество.
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Answers & Comments
sina × cosa × sina\cosa + sina × cosa × cosa\sina = sin²a + cos²a = 1
P.s. sin²a + cos²a = 1 - основное тригонометрическое тождество.