Hello :
<span>cot (2 θ) + cot ( θ) = 0
</span>cot (2 θ) = - cot ( θ)
cot (2 θ) = cot ( - θ)
2 θ = - θ +2k <span>π k in : Z
</span>θ = 2k π /3
in : <span>[0, 2π)
</span>k=0 : θ = 0
k=1 : θ = 2π /3
k=2 : θ = 4π /3
Answer:
- 13
Step-by-step explanation:
To evaluate (g ○ f)(3), evaluate f(3) then use this value to evaluate g(x)
f(3) = 3 - 7 = - 4, then
g(- 4) = 4(- 4) + 3 = - 16 + 3 = - 13
Answer: last graph
Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.
Graphs of function that are EVEN, are symmetric about y-axis.
We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.
Graph 1, 2, 3 ---- not symmetric about y-axis
Graph 4 ------- Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.
Answer:
PN = 30
PNM = 90 degrees
PNL = 90 degrees
hope i helped you
Step-by-step explanation:
Answer:
10 water bottles = $2.50
Step-by-step explanation:
Basically just algebra, just find out the cost for one water bottle, then find out the cost for ten. If 24 water bottles is 6 dollars, then they got four bottles of water for one dollar, meaning a bottle of water is 25 cents, or $0.25. Ten water bottles would be two dollars and fifty cents.