Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 8 sin(2θ) − 2 sin(θ) = 0

Step-by-step explanation:

Factor constant terms:

Divide both sides by -2:

Expand trigonometric functions using the fact:

So:

Factor sin(x) and constant terms and multiply both sides by -1:

Split into two equations:

For (1)

Add 1 to both sides and divide both sides by 8:

Take the inverse cosine of both sides:

For (2)

Simply take the inverse sine of both sides

Therefore, the solutions are given by:

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!