Question

Prove that (introduction to trigonometry)​

Answer 1

Answer:-

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

=

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

=

$\sqrt{ \frac{1 - { \sin(a) }^{2} }{ {(1 + \sin(a)) }^{2} } }$

=

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

=

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

[PROVED]

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