Answer:
tan(theta) = y/x = 2/1 = 2
sin(theta) = y/r = 2/√5
cos(theta) = x/r = 1/√5
tan(theta) = y/x = -2/√5
sin(theta) = y/r = -2/-1 = 2
cos(theta) = x/r = -1/√5
Step-by-step explanation:
-2x+y =0
y = 2x
So the ratio between y to x is:
y/x = 2
y:x = 2:1
For example, if x = 1, y = 2. Using this we'll get the hypotenus or the length of the terminal side as below
r = √(1^2 + 2^2) = √5
So the trigo for these are:
tan(theta) = y/x = 2/1 = 2
sin(theta) = y/r = 2/√5
cos(theta) = x/r = 1/√5
Another 3 trigo is when both x and y is negative (3rd quadrant)
Ex: x=-1, y=-2
r will be √5 as well
Hence
tan(theta) = y/x = -2/√5
sin(theta) = y/r = -2/-1 = 2
cos(theta) = x/r = -1/√5
