Question

If tan x =5/12, then find sex x.

Answer 1

we know that tan x is equal to 5/12 and than
sin x/ cos x equal to 5/12 it means P is equal to 5 and b equal to 12 and then h equal to 13 by
py thagore's theorem does the secx is equal to h/b equal to 13/12i substitute in the value we get secx equalto 13/12

Answer 2

Answer:

$sec x = \frac{13}{12}$

Step-by-step explanation:

Given,

$tan x = \frac{5}{12}$

Since, we know that,

$sec^2x = 1 + tan^2x$

$\implies sec^2 x = 1 + (\frac{5}{12})^2$

$= 1 + \frac{25}{144}$

$= \frac{144+25}{144}$

$=\frac{169}{144}$

$\implies sec x = \sqrt{\frac{169}{144}}=\frac{13}{12}$