LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
Answer:
$95,183.04
Step-by-step explanation:

A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
(i used a calculator but theres the formula^^ T-T)
Answer:
y = 3
Step-by-step explanation:
<em>*As seen in the photo, the fact that EF = GF and the bisector being there makes EH = HG.</em>
<u>5y + 10 = 28 - y</u>
<em>*Add y to both sides.</em>
6y + 10 = 28
<em>*Subtract 10 from both sides.</em>
6y = 18
<em>*Divide both sides by 6.</em>
y = 3
Answer:
I will tomorrow :)
Step-by-step explanation:
You can use a number line to understand the place values.