Question

Find the sin(Θ) of an angle in standard position if the terminal side passes through the point (4, -8).
See link:
http://prnt.sc/diigk9

Answer 1

Have you considered plotting this point on a set of coordinate axes, and then drawing in the "hypotenuse," the "opposite side" and the "adjacent side?"

How is the "sine" of an angle defined?

Answer 2

opposite/ hypotenuse

Answer 3

Right. Have you plotted the given point and drawn the triangle it defines?

Answer 4

i don't know where exactly to put it

Answer 5

What does "(4,-8)" mean to you?

Answer 6

where the line passes on the x axis?

Answer 7

(4,-8) is a POINT. Assuming that you have drawn a set of coordinate axes, locate the origin. From the origin move 4 scale divisions to the right, and then from there move 8 scale divisions down. Place a dot there to locate your point (4,-8).

Answer 8

i know its a point but i guess i meant pertaining to the "terminal side " passing through it

Answer 9

Plotting points is an essential skill in both Algebra and Trig.

See the following diagram.

Answer 10

Can you locate the point where x=4 and y=0?

Answer 11

Click on the black button with a pencil icon...doing this will enable you to edit my drawing.