Question

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

Answer 1

Hey !!!

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

by using rationalising process

1/m = 1/secA-tanA ×secA +tanA/secA+ tanA (multiplying by secA + tanA on numerator and denominator)

1/m = secA + tanA/sec²A - tan²A

1/m = secA + tanA/1

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

if we substracting equation 2nd to 1st equation .. then we get

we get .. sec¢ - tan¢ -( sec¢ + tan¢ ) = m - 1/m

-2tanA = m- 1/m

-tanA = 1/2(m²-1/m )

tanA = 1/2m ( 1 - m²)

********************"""**************
Hope it helps !!!

@Rajukumar111

Answer 2

Hope this helps you ☺☺