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evgen110776 @evgen110776

July 2022 2 2 Report

СРОЧНО НУЖНА ПОМОЩЬ
Упростить выражения:
а) cos²(2π-t)+cos²(3π/2+t)
б) (cos(π/2+t)ctg(-t))/sin(π/2-t)

sedinalana

Verified answer

A)cos²t+sin²t=1
2)-sint*(-ctgt)/cost=sina*cosa/sina *1/cosa=1

1 votes Thanks 2

Sophie155 переменная t, а не a во 2)

Sophie155 A)
$cos^2(2 \pi -t)+cos^2( \frac{3 \pi }{2} +t)=cos^2t+sin^2t=1$

б)
$\frac{cos( \frac{ \pi }{2} +t)*ctg(-t)}{sin( \frac{ \pi }{2} -t)}= \frac{-sint*(- \frac{cost}{sint}) }{cost} = \frac{cost}{cost} =1$

8 votes Thanks 6

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