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:
Units of Capacity (Volume)
The basic unit of volume or capacity is the litre. The most commonly used units in cooking are the litre and the millilitre.
Answer:
5 and -6
Step-by-step explanation:
9514 1404 393
Answer:
g(x) = √(x -5) +7
Step-by-step explanation:
To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...
g(x) = f(x -h) +k
To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...
g(x) = √(x -5) +7
Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
