Question

Find the trigonometric sine ratio of an angle in a standard position whose terminal arm passes through the point (3, 4).

Answer 1

The terminal arm passes through (3,4)

x=3 and y=4

⇒ r = `sqrt("x"^2+"y"^2)`

⇒ r =`sqrt(3^2+4^2)` s

⇒ r = `sqrt(9+16)`

⇒ r =`sqrt25`

⇒ r = 5

∴ sinθ `= "P"/"H" ="y"/"r" = 4/5`