4sin²(x) = 5 - 4cos(x)
4{¹/₂[1 - cos(2x)]} = 5 - 4cos(x)
4{¹/₂[1] - ¹/₂[cos(2x)]} = 5 - 4cos(x)
4[¹/₂ - ¹/₂cos(2x)] = 5 - 4cos(x)
4[¹/₂] - 4[¹/₂cos(2x)] = 5 - 4cos(x)
2 - 2cos(2x) = 5 - 4cos(x)
- 2 - 2
-2cos(2x) = 3 - 4cos(x)
-2[2cos²(x) - 1] = 3 - 4cos(x)
-4cos²(x) + 2 = 3 - 4cos(x)
- 2 - 2
-4cos²(x) = 1 - 4cos(x)
-4cos²(x) + 4cos(x) - 1 = 0
4cos²(x) - 4cos(x) + 1 = 0
[2cos(x) - 1]² = 0
2cos(x) - 1 = 0
+ 1 + 1
2cos(x) = 1
2 2
cos(x) = ¹/₂
cos⁻¹[cos(x)] = cos⁻¹(¹/₂)
x = 60, 300
x = π/3, 5π/3
[0, 2π) = 0 ≤ x < 2π
[0, 2π) = 0 ≤ π/3 ≤ 2π or 0 ≤ 5pi/3 < 2π
Answer:
360 hours
Step-by-step explanation:
To convert 15 days into hours, we need to find hours in a day. There are 24 hours in a day.
We can take 15 days/1 and multiply it by 24 hours/1 day, and we can cancel out the day units.
Then, we multiply 15 by 24 to get 360 hours.
Hope this helps
Answer:
x= 24
Step-by-step explanation:
Quotient means divide, increased means add
x/3 + 12 =20
Subtract 12 from each side
x/3 +12-12 = 20-12
x/3=8
Multiply each side by 3
x/3 * 3 =8*3
x= 24
Answer:x=-16
Step-by-step explanation:
Subtract 6 from both sides
x/8=-2
Multiply the number by 8 on both sides to get x by itself
x=-16
Hope you are having a good day and if you could, brainliest would be nice
I do believe it is answer c, but not 100% on that due to the fact that when i worked it i got c, but when i googled alot got other answers. sorry i know thats not much help
