упростить выражениепомогите пожалуйстаsin(p/4-ą)*cos(p/4-ą)2*tg1.5ą/1+tg²1.5ą. Created by rina270604. algebra-ru

1+tg²1.5ą...

rina270604 @rina270604

July 2022 1 28 Report

упростить выражение
помогите пожалуйста

sin(p/4-ą)*cos(p/4-ą)

2*tg1.5ą/1+tg²1.5ą

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NNNLLL54

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Ответ:

$sin(\dfrac{\pi}{4}-a)\cdot cos(\dfrac{\pi}{4}-a)=\dfrac{1}{2}\cdot sin(\dfrac{\pi}{2}-2a)=\dfrac{1}{2}\cdot cos2a\\\\\\\dfrac{2\cdot tg1,5a}{1+tg^21,5a}=tg(2\cdot 1,5a)=tg(3a)$

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