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Answers & Comments
Ну а вот решение:
я тебе решу только (а) и (б), тк я не знаю, как решаются (в) и (г), прости(((
(а)
а = 9, b = 12, c = ?
c^2 = a^2 + b^2
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
c = 15
sin а = а/с
sin a = 9/15 = 3/5 = 0.6
cos a = b/c
cos a = 12/15 = 4/5 = 0.8
по теореме:
sin a = cos β
cos a = sin β
Значит, cos β = 3/5 = 0.6 , a sin β = 4/5 = 0.8
tg a = a/b
tg a = 9/12 = 3/4 = 0.75
tg β = ctg a , значит нужно узнать еще ctg a
ctg a = b/a
ctg a = 12/9 = 4/3 = 1.333
значит, tg β = 4/3 = 1.333
(б)
а = 6, b = ?, c = 10
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100 - 36
b^2 = 64
b = 8
sin a = a/c
sin a = 6/10 = 0.6
cos a = b/c
cos a = 8/10 = 0.8
по теореме:
sin a = cos β
cos a = sin β
Значит, cos β = 0.6 , sin β = 0.8
tg a = a/b
tg a = 6/8 = 3/4 = 0.75
tg β = ctg a , значит нужно узнать еще ctg a
ctg a = b/a
ctg a = 8/6 = 4/3 = 0.333
значит tg β = 4/3 = 0.33
Как то так)