Question

Pls help with the solution of the question.​

Answer 1

`(17)/(13)`

Explanation:

Given

tan x =
`(5)/(12)` =
`(opposite)/(adjacent)`

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

sin x =
`(opposite)/(hypotenuse)` =
`(5)/(13)`

cos x =
`(adjacent)/(hypotenuse)` =
`(12)/(13)`

Thus

sin x + cos x =
`(5)/(13)` +
`(12)/(13)` =
`(17)/(13)`