x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
Answer:
5741.135
Step-by-step explanation:
Hope that helped
Answer:
Step-by-step explanation:
given that the side of the square is 4a
The expression for the area can be solved by
1. subtracting 5 from the sides of the square i.e (4a-5)
2. Solving for the area of the square using
opening the bracket and expending we have
the expression is
No radius = no circle
The radius defines how big a circle is.
0 radius means the circle is only a dot.
So, the area of the circle is 0.
Or technically, algebraically --
area = πr²
area = π(0)²
area=π(0)
area = 0
Answer:
Area=105
Step-by-step explanation:
If we were to close the rectangle it would be 15ft x 8ft which equals 120ft
but then we'd have to find the area of the small rectangle inside being
3ft x 5ft = 15 ft
So, we'd have to subtract 15 ft from 120 ft giving us the answer of 105 ft
