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
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