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❖ There are a total of 18 marbles.
In order to get 18, we have the ratio 2:1. 2 represents the blue marbles and 1 represents the red marbles. We now have 12 blue marbles in a box. 2 x 6 = 12 so we are multiplying by 6. What we do to one number, we do to the other so 1 x 6 = 6 . Add 12 + 6 = 18
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Answer:
General solution is
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) 
<u><em>Step(ii):-</em></u>
<u><em></em></u><u><em></em></u>
<u><em>Step(iii):-</em></u>
<u><em>General solution of cos x = cos ∝ is x = 2 nπ+∝</em></u>
<u><em>we have </em></u>
The general solution of is
⇒ 
⇒ 
<em><u>final answer</u></em>:-
General solution is
