The terminal side of theta in standard position contains the point (-4,-2). Find the exact value for sine theta:

sin(θ) = -0.894

Step-by-step explanation:

If we have a point (x, y), the angle formed between the positive x-axis and the ray that connects the origin with the point is given by:

tan(θ) = y/x

cos(θ) = y/√(x^2 + y^2)

sin(θ) = x/√(x^2 + y^2)

Here we have the point (-4, -2)

so we have:

x = -4

y = -2

Replacing these values in the sine equation, we get:

sin(θ) = -4/√((-4)^2 + (-2)^2)

sin(θ) = -0.894

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.