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karina13
@karina13
August 2021
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Вычислить без таблиц и калькулятора
1)1-cos^415градусов+sin^415 градусов
2)ctg(-1860градусов)
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riman48nusha
1)
1-cos^415градусов+sin^415 градусов = sin^4(15 градусов) + sin^4 (15 градусов)= 2sin^4 (15 градусов) = 2sin^4 (45 град. - 30 град.) = 2sin^4(45 град.)*cos^4 (30 град.) - 2cos^4(45 град.)*sin^4(30 град.) = 4/16 * 9/16 - 4/16 * 1/16 = 4/16 (9/16-1/16) = 4/16 * 8/16 = 4/32 = 1/8
2)
ctg(-1860градусов) = -
ctg(1860градусов) = - ctg (1860 - 360*5) = - ctg60 = - 1/корень из 3
2 votes
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Answers & Comments
2) ctg(-1860градусов) = - ctg(1860градусов) = - ctg (1860 - 360*5) = - ctg60 = - 1/корень из 3