Question

Statement (A) : If $Sec\theta +tan\theta =\frac{1}{p},$ then $sec\theta -tan\theta =p$
Statement (B) :${sec}^2\theta -{tan}^2\theta =1$ where ${}^{\prime }{\theta }^{\prime }$ is not an integral multiple of ${180}^{\circ }$

• A. Both A and B are true
• B. Both A and B are False
• C. A is true and B is False
• D. A is false and B is true

Answer 1

The correct option is A Both A and B are true

${\sec }^2\theta -{\tan }^2\theta =(\sec \theta -\tan \theta )(\sec \theta +\tan \theta )=p\times \frac{1}{p}=1$

Hence both $A$ and $B$ are true.