Question

If 1+sinA/cosA=√2+1,then the value of 1-sinA/cosA is =गिव मी द आंसर ​

Answer 1

Answer:

$\sqrt{2 } - 1$

Step-by-step explanation:

$\frac{1 + \sin( \alpha ) }{ \cos( \alpha ) } = \sqrt{2} + 1 \\ \frac{1}{ \cos( \alpha ) } + \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \sqrt{2} + 1 \\ \sec( \alpha ) + \tan( \alpha ) = \sec(45) + \tan(45) \\ \alpha = 45$

$\frac{1 - \sin( \alpha ) }{ \cos( \alpha ) } \\ = \frac{1}{ \cos( \alpha ) } - \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \\ = \sec( \alpha ) - \tan( \alpha ) \\ = \sec(45) - \tan(45) \\ = \sqrt{2} - 1$