Answer:
60, 75
150 165
240 255
330 345
Step-by-step explanation:
csc 4 theta = -2 sqrt(3)/3
Write in terms of sin
1/ sin (4 theta) = -2 sqrt(3)/3
Using cross products
-2 sqrt(3) = 3 sin (4 theta)
Divide each side by 3
-2 sqrt(3)/3 = sin (4 theta)
Take the inverse sin on each side
sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))
240 +360n = 4 theta
and 300 +360n = 4 theta where n is an integer
Dividing each side by 4
240/4 +360n/4 = 4/4 theta and 300/4 +360n/4 = 4/4 theta
60 + 90n = theta and 75 +90n = theta
We want all the values between 0 and 360
Let n=0
60, 75
n=1
60+90=150 and 75+90 =165
n=2
60+180= 240 75+180=255
n=3
60+270 = 330 75+ 270 =345
Answer:
(2,-7)
Step-by-step explanation:
Use the midpoint formula! (Attached is a picture of it!)
1) Plug in the values:
(5-1)/2,(-6+-8)/2
2) Simplify:
4/2,-14/2
3) Solve:
(2,-7)
Answer:
About 24.7 miles. Hope this helps!!!
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
There's only 3 prizes thus meaning only 3 people can be awarded
Answer:
brueh what im confused
Step-by-step explanation: