If \(\sec\theta = \dfrac{25}{7}\), complete the following activity to find the value of \(\tan\theta\).Activity :We have, \(1 + \tan^2\theta = \sec^2\theta\)\(\therefore 1 + \tan^2\theta =\) ____\(\therefore \tan^2\theta = \dfrac{625}{49} -\) ____\(\…
Q.2 (A)(2) If \(\sec\theta = \dfrac{25}{7}\), complete the following activity to find the value of \(\tan\theta\).
Activity :
We have, \(1 + \tan^2\theta = \sec^2\theta\)
\(\therefore 1 + \tan^2\theta =\) ____
\(\therefore \tan^2\theta = \dfrac{625}{49} -\) ____
\(\therefore \tan^2\theta = \dfrac{625 - 49}{49}\)
\(\therefore \tan^2\theta = \dfrac{\text{____}}{49}\)
\(\therefore \tan\theta =\) ____