Question

If sec =25/7 then find tan
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Answer 1

Answer:

There's ur answer mate!!!

Answer 2

Answer:

$\tan\theta = \frac{24}{7}$

Step-by-step explanation:

$Given:\sec\theta \: = \frac{25}{7} \\ We \: know \: that, \\ 1 + { \tan }^{2} \theta = { \sec}^{2} \theta \\ { \tan }^{2} \theta = { \sec}^{2} \theta - 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: =({ \frac{25}{7}} )^{2} - 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: =\frac{625}{49} - 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{625 - 49}{49} \\ tan^{2} \theta \: = \frac{576}{49} \\ Taking \: square \: root, \\ \tan\theta = \frac{24}{7}$

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