Question

L= cos²alfa( 1 + tan²alfa )
ayúdenme!!! ​

Answer 1

$L \: = \: \cos(α ) ^{2} (1 \: + \: \tan(α) ^{2} )$

$L \: = \: \cos(α ) ^{2} (1 \: + ( \frac{ \sin(α)}{ \cos(α)} )^{2} )$

$L \: = \: \cos(α ) ^{2} (1 \: + ( \frac{ \sin(α) ^{2} }{ \cos(α)^{2} } )$

$L \: = \: \cos(α ) ^{2} \: \times \: \frac{ \cos(α) ^{2} \: + \: \sin(α) ^{2} }{ \cos(α) ^{2} }$

$L \: = \: \cos(α ) ^{2} \: \times \: \frac{1}{ \cos(α) ^{2} }$

$\boxed{L \: = \: 1}$

Besitos OvO

Answer 2

Respuesta:

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Explicación paso a paso: