cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
I believe the term is a "radical"
Hope this helps!
Answer:
5. The slope is 1 and y intercept is -2 points to graph (0,-2) (1,-1)
6. The slope is 1/2 and y intercept is 3 points to graph (0,3) (1,4)
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Answer:
5 : 6
This is the answer because initially means orginally. And from the information given 5 : 6 is the orginal ratio.
