Question

If ($sec\theta$ - $tan\theta$) = $\frac{1}{3}$, the value of ($sec\theta$ + $tan\theta$) is:

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is C

3

We know that , $se{c}^2\theta$ - $ta{n}^2\theta$ = 1

Therefore, ($sec\theta$ + $tan\theta$) ($sec\theta$ - $tan\theta$) = 1

Since, ($sec\theta$ - $tan\theta$) = $\frac{1}{3}$

Thus, ($sec\theta$ + $tan\theta$) = 3