Question

plz prove this question

Answer 1

Answer:

Step-by-step explanation:

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( 1 - Sin A ) × ( 1 + Sin A )
_________________
Cos² A

=>

1² - Sin² A
______
Cos ² A

=>

1 - Sin² A
_______ = 1
1 - Sin² A

Becoz Cos ² A = 1 - Sin² A

Answer 2

$sec(a)( \sec(a) + \tan(a) - \sin(a) sec(a) \\ - \sin(a) \tan(a)$


$\sec(a) (\frac1{cos} + \frac{ \sin(a) }{ \cos( a) } - \frac{ \sin(a) }{ \cos(a) } - \frac{ { \sin(a) }^{2} }{ \cos(a) }$


$\frac{1}{ \cos(a) } (1 + \sin(a) - \sin(a) - { \sin(a) }^{2} \div \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \cos(a)$



$\frac{1}{ \cos( a) } \times { \frac{ \cos(a) }{ \cos(a) } }^{2}$





$= 1$



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