Question

if tan x=5/12 find the value of cos x + sin x / cos x-sin x​

Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\blue{SOLUTION :}}}}$

$\implies$ $\sf{Given\:tanx=\frac{5}{12}}$

Using hypotenuse rule we can find other side

$\implies$ $\sf{a^2=b^2+c^2}$

     $\sf{a^2=5^2+12^2}$

     $\sf\blue{a=13}$

$\implies$ $\sf{sinx=\dfrac{5}{13}}$

     $\sf{cosx=\dfrac{12}{13}}$

$\implies$  $\sf{asking\:\dfrac{cosx+sinx}{cosx-sinx}}$

      $\sf{\dfrac{\dfrac{12}{13}+\dfrac{5}{13}}{\dfrac{12}{13}-\dfrac{5}{13}}}$

      $\sf{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}$

      $\sf\pink{\dfrac{17}{7}\:is\;answer}$