Question

Sec theta - tan theta= 0.07. Then sec theta =

Answer 1

Hi ,

Here I am using A instead of theta.

SecA - tanA = 7/100 ----( 1 )


We know the trigonometric identity ,

Sec² A - tan² A = 1

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

( SecA + tanA ) ( 7/100 ) = 1

Therefore ,

SecA + tanA = 100/7 ---( 2 )

Add equations ( 1 ) and ( 2 ) , we get

2secA = 7/100 + 100/7

= ( 49 + 10000 ) / 700

SecA = 10049/1400

I hope this helps you.

:)