The given question seem incomplete
Rewrite the expression as a simplified expression containing one term
cos (α + β)cos(β) + sin( α + β)sin(β)
Answer:
The simplified form of the given expression is cos(α)
Step-by-step explanation:
We are given the expression
cos (alpha + beta)cos(beta) + sin( alpha + beta)sin(beta)
we will proceed by expanding the given expression as
(cos(alpha)cos(beta) - sin(alpha)sin(beta))cos(beta) + (sin(alpha)cos(beta)+cos(alpha)sin(beta))sin(beta)
cos(alpha)cos^2(beta) -sin(alpha)sin(beta)cos(beta) + sin(alpha)cos(beta)sin(beta) + cos(alpha)sin^2(beta)
The two middle terms will cancel each other so we are left with
cos(alpha)cos^2(beta) + cos(alpha)sin^2(beta)
cos(alpha)[cos^2(beta) + sin^2(beta)]
cos(alpha) (1) = cos(alpha) [cos^2(beta) + sin^2(beta) = 1]
Therefore the simplified form of the given expression is cos(α)
The zeros are at -14 and 5
Step-by-step explanation:
3/4x+5=-19
-5 -5
3/4x=-24
/ 3/4 / 3/4
x=-32
hope it helps! :3 let me know if you need help with other algebraic equations!
Answer:
-6 degrees Fahrenheit
Step-by-step explanation:
Begginging temp: 26 degrees
Temp. dropped: 32 degrees
26 - 32 = -6 degrees
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount invested or collected as a loan.
R represents interest rate.
T represents the duration of time in years before the loan is bald back.
From the information given,
P = 1290
I = 5.75
Since there are 365 days in a year,
t = 65/365 = 0.1781 years
Therefore,
5.75 = (1290 × r × 0.1781)/100
5.75 = 229.749r/100 = 2.29749r
r = 5.75/2.29749
r = 2.5027
Rounding to the nearest percent,
r = 3%