Cos² 2x = (1+cos 4x )/2
cos² 6x = (1+cos 12x)/2
subtract to get 1/2 (cos 4x - cos 12x )
= 1/2 (2 sin 4x sin 8x ) as cos A - cos B = 2 [ sin (A+B)/2 sin (A-B)/2 ]
so the answer
I believe they are called the "Legs." They are also referred to as the opposite and adjacent sides. :)
Each face has a chance of 1/6
So you beed 6 rolls
Answer:
d = .4p
Step-by-step explanation:
Discount = original price * discount rate
We know the discount rate is 40%
original price is p
discount = d
d = p*40%
Changing this to decimal form
d = .4p
Answer:
2 days
Step-by-step explanation:
Use the given formula
y = 5x + 4
The information:
y is the money spent
x is the number of days
It is known that Justin spent $18
so now just substitute in that value
$18 = 5x + 4
and simplfiy by inverse operations
18 = 5x + 4
-4 -4
14 = 5x
/5 /5
2.8 = x
As per this problem, one can infer that renting a game is done by days, and will be charged in days, hence renting a game for 0.8 days is pointless
meaning that the final answer is 2 full days