Question

if sec a - tan a =m then tan a=?

Answer 1

if sec a- tan a = m then tan a =90°

Answer 2

Hi ,

It is given that ,

secA - tanA = m ----( 1 )

We know that,

sec² A - tan² A = 1

( secA - tanA )( secA + tanA ) = 1

m ( sec A + tanA ) = 1

secA + tanA = 1/m ------( 2 )

subtract ( 1 ) from ( 2 ) , we get

2tanA = 1/m - m

2tanA = ( 1 - m² )/m

Therefore ,

tanA = ( 1 - m² )/2m

I hope this helps you.

: )