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:
a(n) = -3 - 2(n-1)
Step-by-step explanation:
The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is
a(n) = a(1) + c(n-1), where c is the common difference.
Here a(1) = -3 and c = -2.
Thus,
a(n) = -3 - 2(n-1).
2+2=4 2 X 2 = 4 2 X 3 = 6
Answer : 4 cm
Step-by-step explanation:
Hi, the radius of a cone is the radius of its circular base.
Since we know the diameter value (8 centimeters) we have ot apply the next formula:
Diameter = radius x 2
Replacing with the values given
8 = 2r
Solving for r:
8/2=r
4=r
So, the radius of the cone is 4 centimeters.
Feel free to ask for more if needed or if you did not understand something.
First, we can write the equation of the line using the information provided:
Now, we can create a table:
Finally, we can graph the line:
