Answer:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or m = 2/3 - (π n_2)/18 for n_2 element Z
Step-by-step explanation:
Solve for m:
-cos(7 m + 2) sin(12 - 18 m) = 0
Multiply both sides by -1:
cos(7 m + 2) sin(12 - 18 m) = 0
Split into two equations:
cos(7 m + 2) = 0 or sin(12 - 18 m) = 0
Take the inverse cosine of both sides:
7 m + 2 = π n_1 + π/2 for n_1 element Z
or sin(12 - 18 m) = 0
Subtract 2 from both sides:
7 m = -2 + π/2 + π n_1 for n_1 element Z
or sin(12 - 18 m) = 0
Divide both sides by 7:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or sin(12 - 18 m) = 0
Take the inverse sine of both sides:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or 12 - 18 m = π n_2 for n_2 element Z
Subtract 12 from both sides:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or -18 m = π n_2 - 12 for n_2 element Z
Divide both sides by -18:
Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or m = 2/3 - (π n_2)/18 for n_2 element Z
4x^2−4x+6−5/x+1
4x^2+4x−6−5/x+1
4x^2+4x+6−5/x+1
Answer:
18
Step-by-step explanation:
1/3 n = n - 12 Cross multiply
n = 3(n - 12)
n = 3n -36
2n = 36
n = 36/2
n = 18
The table of values by the equation 4y - 2x = 16 is (d)
The table of values that complete the question is added as an attachment
The equation is given as:
4y - 2x = 16
Add 2x to both sides
4y = 2x + 16
Divide through by 4
y = 0.5x + 4
Set x = 0, 2 and 4
y = 0.5(0) + 4 = 4
y = 0.5(2) + 4 = 5
y = 0.5(4) + 4 = 6
So, we have:
x y
0 4
2 5
4 6
Hence, the table of values by the equation is (d)
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