Question

sec theta-tan theta=x show that sec theta +tan theta=1÷x

Answer 1

[tex]sec^{2}\theta -tan ^{2}\theta =1 (sec\theta-tan\theta)(sec\theta+tan\theta) = 1 Sec\theta+tan\theta = 1/(sec\theta-tan\theta) hence prove sec\theta+tan\theta = 1/x[/tex]

Answer 2

Hi ,

Here I am using A Instead of theta.

sec A - tan A = x ----( 1 )

we know the trigonometric identity ,

sec² A - tan² A = 1

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

x ( secA + tan A ) = 1 [ fom ( 1 ) ]

sec A + tan A = 1/x

Hence proved .

:)