Answer:
x - 2
Step-by-step explanation:
"difference" means subtraction (-)
"a number" means an unknown variable -- x
x - 2
2cos^2 x + 3sin x = 0
2(1 - sin^2 x) + 3sin x = 0
2 - 2sin^2 x + 3sin x = 0
2sin^2 x - 3sin x - 2 = 0
Let sin x = m, then
2m^2 - 3m - 2 = 0
2m^2 + m - 4m - 2 = 0
m(2m + 1) - 2(2m + 1) = 0
(m - 2)(2m + 1) = 0
m = 2 or m = -1/2
Now, sin x = -1/2
Therefore, x = 1/6(12nπ - π) and 1/6(12nπ + 7π)
Answer:
2 cats were cared for
Step-by-step explanation:
c= cats
d=dogs
c+d =7
1.5c+3.5d=20.50
c+d =7
solve for d
d = 7-c
substitute into 1.5c+3.5d=20.50
1.5 c + 3.5 (7-c) = 20.50
distribute
1.5c +24.5 -3.5 c = 20.5
combine like terms
24.5 -2c =20.5
subtract 24.5 from each side
-2c = -4
divide by -2
c =2
The reference angle is
pi/3.
At 180 it would be 9pi/3 so going past that is 10pi/3.
