Question

Solve
(ii) (sec A + tan A) (1 - sin A) ​

Answer 1

Answer:

cos A is the answer

drop thanks

Answer 2

Answer:

Cos A

Step-by-step explanation:

(sec A + tan A) (1 − sin A)

$= ( \frac{1}{cos \: (a)} \ + \frac{ \sin(a) }{ \cos(a) } )(1 - \sin(a))$

$= (\frac{1 + \sin(a) }{ \cos(a) }) (1 - \sin(a) )$

$= \frac{(1 + \sin(a)(1 - \sin(a) ) }{ \cos(a) }$

$= \frac{(1 + { \sin}^{2}a) }{ \cos(a) }$

$= \frac{ { \cos}^{2} a}{ { \cos(a) } } = \cos(a)$

.

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

Hence, the answer is cos A