решите пожалуйста. 10 класс алгебра тригонометрия. Created by dopa22. algebra-ru

решите пожалуйста. 10 класс алгебра тригонометрия...

dnepr1

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Надо привести к общему знаменателю:
$\frac{sin t}{1+cost} + \frac{sint}{1-cost} = \frac{sint(1-cost)+sint(1+cost)}{1-cos^2t} =$
$= \frac{sint(1-cost+1+cost)}{sin^2t} = \frac{2sint}{sin^2t} = \frac{2}{sint} .$

1 votes Thanks 1

Assel111 Общий знаменатель 1-cos^2t
[sint (1-cost)+sint (1+cost)]/(1-cos^2t)= (sint-sintcost+sint+sintcost)/(cos^2t+sin^2t-cos^2t)=2sint/sin^2t=
2/sint

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