Udowodnij tożsamość trygonometryczną.... Question from @witaminki990

witaminki990 @witaminki990

April 2022 2 6 Report

Udowodnij tożsamość trygonometryczną

Alusia62

Odpowiedź:

Szczegółowe wyjaśnienie:

2 tgx×cosx = 1-cos²x/sinx + sinx

2× sinx/cosx×cosx = sin²x/sinx + sinx

2 sinx = sinx + sinx

2 sinx = 2 sinx

L = P

cnd

0 votes Thanks 1

basetla

$sin^{2}x + cos^{2}x = 1 \ \ \rightarrow \ \ sin^{2}x = 1 - cos^{2}x$

$L = 2\cdot tgx\cdot cos x = 2\cdot\frac{sinx}{cosx}\cdot cosx = 2sinx\\\\P = \frac{1-cos^{2}x}{sinx}+sinx = \frac{sin^{2}x}{sinx}+sinx = sinx + sin x = 2sinx\\\\L = P$

1 votes Thanks 1

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