Sprawdź tożsamość: 1+ctgα=sinα+cosα/sinα.... Question from @zuza47

zuza47 @zuza47

October 2018 2 17 Report

Sprawdź tożsamość: 1+ctgα=sinα+cosα/sinα

Janek191

1 + ctg alfa = [ sin alfa + cos alfa ] / sin alfa

P = [ sin alfa + cos alfa ] / sin alfa = sin alfa / sin alfa + cos alfa / sin alfa =

= 1 + ctg alfa = L

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2 votes Thanks 1

SyntiaxD

$1+ctg\alpha=\frac{sin\alpha+cos\alpha}{sin\alpha} \\ \\ \frac{sin\alpha}{sin\alpha}+\frac{cos\alpha}{sin\alpha}=\frac{sin\alpha+cos\alpha}{sin\alpha} \\ \\ \frac{sin\alpha+cos\alpha}{sin\alpha}=\frac{sin\alpha+cos\alpha}{sin\alpha}$

Wniosek: Tożsamość prawdziwa.

2 votes Thanks 1

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