Question

Find the value of sin(θ) for an angle theta in standard position with a terminal ray that passes through the point (4,-3)

Answer 1

Explanation:

Answer 2

`(-3)/(5)`

Explanation:

It is given that a terminal ray that passes through the point (4,-3).

x = 4

y = -3

Using Pythagoras theorem, the value of hypotenuse is

`r=√(x^2+y^2)`

`r=√((-3)^2+(4)^2)`

`r=√(9+16)`

`r=√(25)`

`r=5`

We, know that

`\sin \theta = (y)/(r)`

`\sin \theta = (-3)/(5)`

Therefore, the value of
`\sin \theta` is
`(-3)/(5)`.