Question

Pls help with the solution of the question.​

Answer 1

Answer:

$\frac{17}{13}$

Step-by-step explanation:

Given

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

5 and 12 are the legs of a 5- 12- 13 right triangle with hypotenuse 13, thus

sin x = $\frac{opposite}{hypotenuse}$ = $\frac{5}{13}$

cos x = $\frac{adjacent}{hypotenuse}$ = $\frac{12}{13}$

Thus

sin x + cos x = $\frac{5}{13}$ + $\frac{12}{13}$ = $\frac{17}{13}$