Question

State whether true or false:

$\sec \theta -\tan \theta =3$ Then $\sec \theta +\tan \theta =-3$

• A. True
• B. False

Answer 1

The correct option is B False

$\sec \theta -\tan \theta =3$

We know ${\sec }^2\theta -{\tan }^2\theta =1$

$\Rightarrow (\sec \theta -\tan \theta )$$(\sec \theta +\tan \theta )=1$

$\Rightarrow \left(3\right)$$(\sec \theta +\tan \theta )=1$

$\therefore \sec \theta +\tan \theta =\frac{1}{3}$