Question

(sec A + tan A)(1-sin A)​

Answer 1

Answer:

(sec A + tan A)(1-sin A)=

$\cos(A)$

Step-by-step explanation:

Question:-

$(sec A + tan A)(1-sin A)$

Solution:-

$\mapsto (\frac{1}{ \cos(A) } + \frac{ \sin(A) }{ \cos(A) } )$

$\mapsto \: (\frac{1 + \sin(A) }{ \cos(A) } )(1 - \sin(A) )$

$\mapsto \: \frac{(1 + \sin(A)(1 - \sin(A) }{ \cos(A) }$

$\mapsto \: \frac{(1 - \sin ^{2} A) }{ \cos(A) }$

$\mapsto \: \frac{ \cos^{2} A) }{ \cos(A) }$

$\mapsto \: \cos(A)$

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