Решите тождество и 2 примера , пожалуйста .. Created by kves. algebra-ru

Решите тождество и 2 примера , пожалуйста...

August 2022 1 7 Report

Решите тождество и 2 примера , пожалуйста .

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mayli 1) tg 55 - tg 35 = 2tg 20
sin (55 - 35) : (cos 55 · cos 35) = 2tg 20
sin 20 : [0.5(cos (55 -35) + cos (55 + 35)] = 2tg 20
2sin 20 : (cos 20 + cos 90) = 2tg 20
2sin 20 : cos 20 = 2tg 20
2tg 20 ≡ 2tg 20

2) (2sin α - sin 2α) : (2sin α + sin 2α) =
= (2sin α - 2sin α ·cos α) : (2sin α + 2sin α · cos α) =
= [2sin α (1 - cos α)] : [2sin α (1 + cos α) =
= (1 - cos α) : (1 + cos α) =
= 2sin² 0.5α : 2cos² 0.5α =
= 2tg² 0.5α

3) 1 - tg π/16 · tg 3π/16) : (tg π/16 + tg 3π/16) =
= (tg π/16 + tg 3π/16) : [(tg π/16 + tg 3π/16) · tg (π/16 + 3π/16) =
= 1 : tg 4π/16 = 1 : tg π/4 = 1 : 1 = 1

1 votes Thanks 1

mayli была, но я исправила

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reshite pozhalujsta x2 x 12 4x24x 1 0

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