Answer: (2α) = cos²(α) - sin²(α)
Step-by-step explanation:
The expression for cosine of the sum of two angles is:
cos (α + β) = cos(α)*cos(β) - sin(α)*sin(β)
in case α = β
cos ( α + α ) = cos (2α) = cos(α)*cos(α) - sin(α)*cos(α)
Hence cos (2α) = cos²(α) - sin²(α)
Answer:
315881.53
Step-by-step explanation:
We first need to figure out how long it takes for the money to triple
let x= number of years it takes for the money to tirple

Now plug that value into the continously compounding formula

Which rounds to
315881.53
Answer:
V≈1231.5in³
Step-by-step explanation:
<h2>V=πr2h=π·142·2≈1231.50432in³ plz give me brainliest :))!!!!!</h2>
Answer:
23/14
Step-by-step explanation:
42x - 5 = 64
Add 5 to both sides in order to isolate 42x
42x = 64 + 5
42x = 69
Divide 42 from both sides in order to isolate x
x = 69/42
The answer gives an uneven decimal so it'd be best to leave it as a simplified fraction. The simplified fraction is 23/14.