Question

If Sec A+ tan A = 3
then sec A - tan A
​

Answer 1

Answer:

$\green{secA-TanA=1/3}$

Step-by-step explanation:

$\boxed{given}$

secA+tanA=3

$\boxed{Tofind}$

secA-TanA

$\blue{Answer}$

we know the identity

$sec {}^{2} - tan {}^{2} = 1$

using

$\green{(a+b)(a-b)=a^2-b^2}$

$(sec + tan)(sec - tan) = 1$

secA +TanA=3

putting this value we get

$(3)(sec - tan) = 1$

$\boxed{secA-tanA=1/3}$