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)
Answer:
15 degrees less --> substract 15 degrees.
78.6 - 15 = 63.6 degrees
Box volume can be computed by getting the base area
multiplied by the total height.
in formula for volume we have,
V = Base Area x H. Given the Volume of 144 cu in and H = 4.5
in. we can solve for Base Area (BA)
Volume (144 cu in) = BA x Height (4.5 in)
BA = 144 cu in/4.5 in
Base Area = 32 square inches
Answer:
Cuando la gráfica de una función es una recta: Si la recta pasa por el origen de coordenadas, es una función lineal, y = mx, y su pendiente, m, es la ordenada de x = 1. Si no pasa por el origen, es una función afín, y = mx + n, donde n es la ordenada de x = 0 y m es la ordenada de x = 1 menos n.
Answer:
A: x = 1/36
B: x = 1
Step-by-step explanation:
Part A:
(6²)x = 1
6² = 36, so we write 36 instead of 6² and get:
36x = 1
Now we divide both sides by 36 to find the value of x.
x = 1/36
Part B:
(6ˆ0)x = 1
6^0 = 1, so we replace 6^0 with 1 in the equation and get:
1x = 1
1x is the same as x, so our solution is:
x = 1
