Question

What is the value of sinθ given that (−6, −8) is a point on the terminal side of θ ?

Answer 1

4/5 i think. use pythagorean theorem to find the length of the hypotenuse, and then from there you can find sin, because sin= opposite/hypotenuse. dont forget to reduce!!

Answer 2

`(-4)/(5)`

Explanation:

Let a=-8

b=-6

In triangle , by using Pythagoras theorem,

`r^(2)`=
`a^(2)`+
`b^(2)`

r=
`\sqrt{a^2+b^(2)`

r=
`\sqrt{(-8)^2+(-6)^(2)`

r=
`\sqrt{64+36`

r=
`√(100)`

r=10

by using trigonometric ratio,

sinθ =
`(a)/(r)`

sinθ =
`(-8)/(10)`

sinθ =
`(-4)/(5)`