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 first way:
1. Reflect the figure I across the x-axis.
2. Translate the figure I and its reflection and rotate them 90 degrees.
The second way:
1. Reflect the figure I across the x-axis.
2. Rotate 90 degrees counterclockwise.
3. Rotate it across the y-axis.
Answer:
9 increased by 5% = 9.45
Absolute change (actual difference):
9.45 - 9 = 0.45
Step-by-step explanation:
Answer:
Step-by-step explanation:
point-slope equation of the line: y+1 = -(x-3)
rearrange to solve for y:
y+1 = -x+3
y = -x + 2 slope-intercept form
Answer:
Stop cheating and do your own work....
Mr E
Step-by-step explanation:
