Question

If tan$=5,find the value of cos$+sin$/cos$-sin$

Answer 1

we have,

$\frac{sin( \alpha )+ \cos( \alpha )}{ \cos( \alpha ) - \sin( \alpha ) }$

Now, dividing numerator and denominator by Cos ( \alpha )-

$\frac{1 + \tan( \alpha ) }{1 - \tan( \alpha ) }$

now,putting

$\tan( \alpha ) = 5$

we get,

$\frac{1 + 5}{1 - 5} = \frac{ - 3}{2}$

Thanks

KSHITIJ