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KettyHiv
@KettyHiv
July 2022
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Вычислите cosα, tgα, ctgα, если sinα = 3/5.
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Answers & Comments
mami25366
Sin α = 0,6
sin² α + cos² α = 1
cos² α = 1 - sin² α
cos² α = 1 - 0,6² = 1 - 0,36 = 0,64
cos α = √0,64 = 0,8 = 4/5
sin α
tg α = -----------
cos α
tg α = 3/5 : 4/5 = 3/5 * 5/4 = 3/4
cos α
ctg α = ----------------
sin α
ctg α = 4/5 : 3/5 = 4/5 * 5/3 = 4/3 = 1 целая 1/3
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KettyHiv
Благодарю.
mami25366
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Answers & Comments
sin² α + cos² α = 1
cos² α = 1 - sin² α
cos² α = 1 - 0,6² = 1 - 0,36 = 0,64
cos α = √0,64 = 0,8 = 4/5
sin α
tg α = -----------
cos α
tg α = 3/5 : 4/5 = 3/5 * 5/4 = 3/4
cos α
ctg α = ----------------
sin α
ctg α = 4/5 : 3/5 = 4/5 * 5/3 = 4/3 = 1 целая 1/3